### A Helping Hand

**Clayton students volunteered to help renovate the playground for the Kindergartners at Towles Elementary school. City regulations require the sand underneath the swings be at least 15 inches deep. The sand under both swing sets was only 12 inches deep when the renovation started.**

**The rectangular area under the small swing set measures 9 feet by 12 feet and required 40 bags of sand to increase the depth by 3 inches. How many bags of sand will the students need to cover the rectangular area under the large swing set if it is 1.5 times as long and 1.5 times as wide as the area under the small swing set?**

1.5 times 15 =22.5 bAgs of sand to use to fill it up

Would you use LESS bags to fill up a BIGGER area?

its would take 90 bags to fill the big swing set with the the correct amount of sand because the big swing set is 1.5 times longer and wider than the small swing set so i had to multiply the width and length times 1.5 getting 13.5 as the width and 18 as the length than i mulitiplied 18 and 13.5 together getting 243.Now to find out how many bags were needed for each foot i multiplied 9 times 12 getting 108 and divided 108 by 40 getting 2.7 and 243 divided by 2.7 getting 90 bags . So there were 90 bags needed.d7

It would take 90 bags to cover the rectangular area under the large swing set. I got this answer by multiplying (9)(12) which equals 108. Then, i multiplied that by .25 and that equals 27 square feet. Next i divided it by the 40 bags it took to increase the depth and the extra 3 inches. That equaled 0.675 per one bag of sand. Then you do 12 and 9 times 1.5 and i got 13.5. Then i multiplied 13.5 by 18 and i got 243. After i multiplied 243 by .25 and got 60.75. Lastly i divided 60.75 and 0.675 per one bag and that is how i got the answer of 90 bags…

It would take 11.8 bags to fill in the big play ground.

How did you arrive at your solution Tristin? Does it seem reasonable that they would use LESS bags of sand to fill a BIGGER area?

60 bags

How did you arrive at your solution Harrison?

90 bags of sand under the swings so 90*2=180 bags so 45 bags under each bag pole

486 BagS OF SanD.

How did you arrive at your solution Kai?

You would need 44 bags

How did you arrive at your solution Rain?

they will need about 2.5 bags of sand. love the gif you put miss Ellison its funny!

How did you arrive at this solution Emma? Does it seem reasonable that they would use LESS bags of sand for a BIGGER area? I’m glad you liked the gif.

You are going to add 12+12+9+9 because to find out the problem you are going to do this.

What is the solution Jada? Make sure you explain how you solved the problem!

You are going to added 12+12+9+9 because that your area.your answer going to be 54.

Why would you add Kelton? Make sure you explain how you solved the problem.

First I needed to find out how many bags it takes to fill one foot. I set it up like a proportion, and found four bags for one foot. Then I needed to multiply the sides by 1.5. That got me 13.5 ft. by 18 ft. Now I need to multiply that together, and multiply that by 4. that gets me 972 bags of sand.

How did you set your proportion up Ben?

It will take 60 bags of sand to feel the large swing set because 40 x 1.5 is 60

Does the dimensions increasing by 1.5 times mean the same thing as the number of bags increasing by 1.5 times?

8.88

What does this answer represent Kevin? Please explain how you solved the problem.

There are 40 bags of sand for the small swing.. So , 1.5+1.5=3 , then x40 bags will equal 120 bags of sand..

Can you explain why you did the math you did Fane!?

It would take 90 bags to cover the rectangular area under the large swing set. I found this answer by doing 9 multiplied by 12 which was 108 then you have to multiply it by .25 which is 27 square feet then after that you divided it by the 40 bags it took to make and extra 3 inches. You then get the answer of 0.675 per one bag of sand. then you do 9 and 12 multiplied by 1.5 which you get 13.5 times 18 and get 243 after that you do 243 times .25 and get 60.75 then you divided it by .675 per one bag and get your answer of 90 bags.

90 bags of sand under the swings so 90*2=180 bags so 45 bags under each pole each bag is 3.84 inches deep

How did you arrive at your solution Anthony?

first i found the length and width of the larger rectangle by multiplying 9 and 12 by 1.5 getting 13.5 and 18,then i multiplied 9 and 12 and got 108 for the smaller rectangles area.i then multiplied 13.5 by 18 and got 243. scince it took 40 bags for the smaller rectangle i solved for the number of bags it would take to fill the larger rectangle by doing the hart diagram 243×40/108 and my final answer is 90 bags

you will have to multiply 9 and 1.5 and 12 and 1.5 then you will add them together and then multiply that anwser from 3 and the awnser will be 94.5 bags of sand ๐

Why did you do the multiplication you did? Can you explain how you got your answer?

first I found the area of the small playground and multiply the sides of small playground by 1.5. than I found the area of the playground than I set up the small playground as a ratio to find the unit rate to find the set up of the large playground as a ratio to find the number of bags of sand

What is the answer Alex? How many bags of sand will they need?

what i did fist was i mutiplied 9(1.5) and 12(1.5) and then multiples length times width times hight and the hight was 3 inches tall and for th small sque i multiplies length tims iwdth times hight again and that eqaled volume thn i divided volume by 40 and that told me how much it filled the small one and when we got the volume tovthe bigger one that told ushow many bags we need and in total we need 90 bags to fill it up

i took 9ft and 12ft and then timesd them by eachother and got 108in and 144in and timesed thoes all togeather with 3in and got he varible and divided thoes and got the amount for one bag

then divided the two varibales and that got me the answer of 90

the students will need 90 bags of sand. they need 90 bags because if you find the volume of the small swing set it is 108 and 108 divided by 40 equals 2.7.if u multiply 12 and 9 by 1.5 you get 18 and 13.5 when u multiply those you get 243 and 243 divided by 2.7 equals 90.

The students will need 90 bags of sand to cover the rectangular area underneath the large swing set. How I got my answer was first i multiplyed 12ft.*9ft. to find out the area of the sand underneath both swing sets and got 108ft. Next i divided 108/40 and got 2.7. After that step I multiplyed 12ft. and 9ft. by 1.5 and got 18 when I multiplyed 12*1.5 and i got 13.5 when i multiplyed 9*1.5. Then I multiplyed 13.5*18 and got 243. Finally I divided 243/2.7 and my answer of 90 bags of sand.

first you multiply 12 by 1.5 ten you mltiply 15 by 1.5 then you add those two awnsers together then you multiply by 3 ๐

You don’t have an answer listed here Jaylice!

First, we need to find how big the large swing is in area. So we know that the area of the large swings are 1.5 times bigger than the small swings. Find the area of the small swings then times the area by 1.5. (162in.) So the area of the big swings is 162 inches squared. The next step is to find the ratio from bags to inches. So if there is 40 bags to cover 3 inches, then divide the area to the amount of sand needed. (54) Therefore the amount of bags needed to fill three inches is 54 bags of sand.

Does it matter how deep the sand will be?

You would find the length of each side (multiply by 1.5) then you find then you times the area by 40 and divide it5 by 3

Answer: 3888 bags

Does that seem reasonable Renee? Would they increase the number of sand bags by more than 3800 bags just by increasing the sizes by 1.5 times?

the answer would be 4.5

How did you get that answer Audra?

They will need 52.5 bags of saints to cover the area of the swing set. I got this by multiplying 1.5 times 9 and 12, then I took those new measurements for the height and length and multiplied them together and found the new area. Then I took 9 and 12 and multiplied them to find the area and then divided it by 40 to see how many bags of sand per square inches (2.7). Finally I divided that from 141.75 my answer!

Does it matter how deep the sand is?

The students will need 90 bags of sand. I got this finding the area of the small swing set: 9*12=108 ft sq,then i found the area for the large swing set by increasing the small length&width by 1.5:

9*1.5=13.5 12*1.5=18, 18*13.5=243 ft sq. Finally i made the proportion 108/243=40/x and x equals 90 bags of sand.

so we would multiply 1.5 by 40 bags of sand because the length and with are both 1.5 times bigger then the small swing set.

60 bags of sand will need to be removed for the larger swing set.

How did you get the 60 bags of sand?

They would have to have 5,670 bags because you take the 9 and 12 then add 1.5 and you get 141.75 which is the area of the big rectangul then you multiple that times 40 and you get 5,670.

Does that seem like a reasonable answer Alyssa? The dimensions are only increasing by 1.5 times and they used 40 bags in the small sandbox. Did they bags increase by more than 5600 bags?!?!

The rectangular area would be 13.5 feet by 18 feet so it would take 60 sand bags to increase the sand height by 3 inches.

How did you arrive at your solution Julian?

12*1.5=18*40= 720

9*1.5=13.5*40=540

Add 720+540=

1260 Bags of sand

Can you explain your work? I do not follow what you did. ๐

The area they covered under the small swing set is 9×12=108 square feet. Since the depth is the same everywhere, we know that 40 bags covers 108 square feet they can cover 108รท40=2.7 square feet per bag. The area they need to cover under the large swing set is 1.52=2.25 times as big as the area under the small swing set, which is 2.25รท108=243 square feet. If we divide the number of square feet we need to cover by the area covered per bag, we will get the total number of bags we need: 243รท2.7=90. So they will need 90 bags of sand for the large swing set.

you will need 60 bags of sand, first you multiply 12 by 1.5 and get 18, then multiply 9 by 1.5 and get 13.5, after that, you multiply the sandbags by 1.5, which is 60, so there’s 60 bags needed.

Does the dimensions increasing by 1.5 times mean the amount of sand is increasing by 1.5 times too?

I was very confused by this. So if the large swing set area is bigger by 1.5x then you would multiply 1.5 by 9 and the sum would be 13.5. Then you would multiply 12 by 1.5 and your sum would be 18. Next you would have to multiply 13.5 by 18 so you can get the area of the large swing set. Your answer would be 243 ft.(squared). and since we know that 40 sand bags fill 3 inches then you would have to multiply 3 and 40 by 5 since the sand needs to be fifteen inches deep. 3×5=15 40×5=200. The students would need approximately 200 sand bags.

Are they increasing the amount of sand they use by 15 times?

There are two ways to solve this problem.

1. First we multiply 9×12=108, which is the area of the small swing set. Then divide 108 by 40 and you get 2.7 bags of sand per foot. After that you multiply 108×1.5=162ft, which is the area of the bigger swing set. After all of that you divide 162/2.7= 60 bags of sand for the big swing set.

2. The second way is the easier, we just need to multiply 40 x 1.5 and we get 60 bags of sand.

Does it matter how deep the sand will be Daniel?

The answer is 90 bags of sand because I did a ratio comparing the area of the swing set and the number of bags then I used 108\40= 243\z then I used cross multipulcation and got 90 bags of sand.

The answer is 90 bags of sand. What I did was I found out the area of the small sand box and multiplied to get the large box. Then I multiplied length times width to get the area and divided 243by2.7 and got 90 so there is our answer.

The students will need 90 bags in total to to cover the rectangular area under the swing set. I got my answer by multiplying 9 by 1.5 then 12 by 1.5. But first I multipled length * Width * height because I needed to find the Volume

My answer is 90 bags.

I multiplied 9 by 12 for the area of the small swing set and that was 108 square feet and it will take 40 bags of sand for the small set. I multiplied 9 by 1.5 and 12 by 1.5 to get the large swing area. I got 243 square feet. I divided 40 into 108 and got 2.7. I divided 2.7 into 243 and got 90. It will take 90 bags.

To fill up the bigger swing set you have to get 90 bags of sand to fill it up. I this by timsing 9 times 1.5 and then 12 times 1.5 and also 3 and then I got 729. After that I divided it by 1.8 and got 90. Which is 90 bags of sand

to fill up the bigger swings i got 90 bags of sand . I got this by mulitipying 9 and 1.5 and 12 1.5 times 3 and got 729 /1.8 and i got 90

They will need an extra 12 bags

How did you arrive at your solution Landon?

90 bags

How did you arrive at your solution Brandon?

it will take 90 bags of sand

How did you arrive at your solution Dayne?

The students will need 90 bags to fill the large swing set. I multiplied the small swing set of 9 feet times 1.5 and 12 feet by 1.5 to get the measure of the large swing set which equals 13.5 feet by 18 feet. The area of the small swing set was 9 times 12 which equals 108 feet. I divided 108 feet by 40 bags which equals 2.7 bags per foot to make it 3 inches deeper. The area of the large swing set which is 13.5 times 18 equals 243 feet. I then divided 243 feet by 2.7 which equals 90 bags total to make it 3 inches deeper.

It will take 90 bags of sand to cover the rectangular area under the large swing set. First I multiplied 9 x 1.5 and 12 x 1.5. 9 x 1.5 equals 13.5 and 12 x 1.5 equals 18. Then I multiplied 18 x 13.5 which equals 243. The area of the rectangular area under the large swing set is 243. Then I multiplied 9 x 12 to get the area of the rectangular area under the small swing set. 9 x 12 is 108. I divided 108 by 40 and got 2.7. Then I divided 243 by 2.7 and got 90. It will take 90 bags of sand to cover the rectangular area under the large swing set.

for my first step, I had multiplied 9(1.5) and 12(1.5). then I had multiplied (L)(W)(H) and the height was 3 inches tall and for the square i multiplied the same thing again that I did the second time, so that equaled volume. I divded the volume by 40 and that had told me how much it filled up the small square. when we got the volume for the bigger one that had told us how many bags we need so in total we would need 90 bags.

First I found the area of the first rectangle which is 9 ft x 12 ft = 108 square feet. If it took 40 bags to bring it up 3 inches then i found how many square feet 1 bag covere which is 108 / 40 = 2.7 square feet per bag.

Next i found the area of the bigger swingset

If each side is 1.5 times bigger then

(1.5 x 12)x(1.5 x9) = 243 square feet.

If one bag of sand covers 2.7 square feet then i would divide 243 / 2.7 = 90 bags of sand to cover the bigger swing set area.

First, I multiplied 12 by 1.5 which equals 18. Then, I multiplied 9 by 1.5 and got 13.5. These two numbers are measurements for the large swing set ( 13.5 times 18 equals 243ft). For the small swing set the measurement is 12 by 9 which equals 108ft. Then, I will multiply both measurements to get the volume, I will multiply the large swing set, which is 243 times 3 = 729 ft. sq. After, I will do the same for the small swing set, 108 times 3 = 324 ft. sq. Now I will divide these number by 40 and I will need 90 bags of sand to fill up the rectangular area under the large swing set.

The answer is 60 and bags because 1.5 times 40 is 60 and it increased by 3.

Does the dimensions of the sandbox increasing by 1.5 times mean the same as the number of sand bags increasing 1.5 times?

um it is 60 cause i did 1.5 times 40 and it was 60… i knew that was right cause um it said the sand bag increased by three and it did so that is how i know that was right PERIOD (this homework is one of the hardest ive ever done like i barely get any of this i need halp i dont understand this im so confused cause ur not supposed to do pi right since this is a rectangle , i mean that what i think)

Correct Jeanette…Pi does not occur in rectangles. I am happy to sit down and help you with the blog assignments…all you need to do is come in!

The students will need 90 bags. First I multiplied 9 by 12 to get the area of the small swing set. I got 108 square ft. Then Multiplied 9 by 1.5 and I got 13.5. I multiplied 12 by 1.5 and I got 18. I multiplied them to get the length and width of the large swing set. Then I multiplied 13.5 and 18 and I got 243 square ft for the area of the largse swing set. After that I made the proportion 40 over x = 108 over 243. I cross multiplied and I got 9720 = 108x. I divided both sides by 108 and I got 90 = x. If for 108 sqare ft they needed 40 bags, for 243 square ft they will need 90 bags.

Another way to do the problem:

If the length and width will be 1.5 times bigger, then the area will be 2.25 times bigger because 1.5 times 1.5 is 2.25. I multiplied 9 by 12 to get the area of the small swing set. I got 108 square ft. I multiplied it by 2.25 to get the area of the large swing set. I got 243 squre ft. Then, since the area was 2.25 times bigger, then the number of bags of sand would also be 2.25 times bigger. I multiplied 40 by 2.25 and I got 90. They will need 90 bags of sand.

you will need 243 bags of sand

Because when i multiplied 9×1.5 i got 13.5 then i took 12×1.5 and got 18.After i multiplied 13.5×18 and got my answer of 243 bags of sand.

How much area does 1 bag of sand fill?

It would take 90 bags to cover the rectangular area under the large swing set. I got this answer by doing 9 times 12 which was 108 after you have to times it by 25 which is 27 square feet then after that you divided it by 40 bags it took to make and extra 3 inches. Then you’ll get the answer 0.675 per one bag of sand. after that you do 9 and 12 multipled by 1.5 and you would get 13.5 times 18 then get 243 after that you do 243 times 25 and you’ll get 60.75. after that you divide it by .675 per one bag and get your answer of 90 bags.

It will be 60

It will take 65

It will take 65 or it could be 1:5 it equal 50

if you multiply 90 by 2 you will get 180 bags and there will be 45 bags under each pole which means that there is a total of 90 bags under the swing set.

To get my answer of 90 bags, first i found the length and width of the larger rectangle by multiplying 9 and 12 by 1.5 which equalled 13.5 and 18,then i multiplied 9 and 12 and got 108 for the smaller rectangles area. Next I multiplied 13.5 by 18 and got 243. Last I did the heart diagram for my answer by multiplying 243 and 40 divided by 108!๐

Its would be 60 bags because its 1.5 and if it were 2 it would be another half to 80 but it is 1.5 so it would be 60 bags

What I did was multiply both the numbers 9ft and 12 ft.

after multiplying both numbers, my answer i have recived was 108in and 144 in.

then i multiplied them all together and soon divided them all, getting 90.

It would take 90 bags. The first thing i did was find the area for the small playground and the area for the big playground.The next thing was to set up the ratio of the area and bags. Then I put that in a unit rate. Thatโs how it would take 90 bags.

it would take 90 bags of sand

first you multiply 12 by 1.5 ten you mltiply 15 by 1.5 then you add those two awnsers together then you multiply by 3 ๐ skylarr2014

it would take 12.5 to fill the whole playground

I would arrive at the answer of 60 bags

94 Bags

the answer is 1260

It wouldwould take 90 bags. I solved my pproblem by multiplying 9 by 12 which was 108 then i multiplied it by .25 which is 27 square feet then after thatbi divided it by the 40 bags it took to make and extra 3 inches. the answer is 0.675 per one bag of sand. then i multiplied 9 by 12 by 1.5 which you get 13.5 times 18 and get 243 after that you do 243 times .25 and get 60.75 then you divided it by .675 per one bag and get your answer of 90 bags.

It would take 90 bags because I solved my problem by multiplying 9 by 12 which was 108 then I multiplied it by .25 which is 27 square feet then after that you would divided it by the 40 bags it took to make and extra 3 inches.the answer is 0.675 per one bag of sand. then i multiplied 9 by 12 by 1.5 which you get 13.5 times 18 and get 243 after that you do 243 times .25 and get 60.75 then you divided it by .675 per one bag and get your answer of 90 bags. And THATS WHAT I GOT FOR MY ANSWER.

It would take 20 bags . I got this answer by multiplying 1.5 by 2 and the answer I got was 3 . So then I divided 2 by 40 and I got 20 . So it will take 20 bags to fill in the rectangular area under the swing set .

I multiplied 1.5 by 15 and got 22.5 bags to fill up the area and i would use more bags.

you need to find out to first how many bags you need to fill one foot than multipy the sides by 1.5 which i got is 13.5ft and 18ft now we have to multipy it by 4 and you get 972 bags of sand.theres your answer.

It will take 90 sandbags.

How did you get your answer?

It would take 90 bags. I found the area for the small playground and the area for the big playground. Next I set up the ratio of the area and the bags. Finally I put that as a unit rate. Thatโs how I got 90 bags.

1.5+1.5=3*40=120 bags=9 inches in depth.

we need at least 80 more bags; which will increased the depth by

6 inches. And 6+9=15 inches , that will meet city regulations.

LEBRON JAMES !!!!!!!!!!!!!

this will take 90 sand bags total to upgrade towels elementery school play ground

I got 90 bags because you multiply 12 by 1.5 and than you get 18 than you multiply 9 times 1.5 than that is the swing set which is 243ft than for the smaller swing set you multiply 12 by 9 equals 108 ft than you multiply to get the volume which is 243 times 3 equals 729 ft sq equals 729 ft sq and thats how i got 90 bags

the students will need 90 bags of sand. they need 90 bags because if you find the volume of the small swing set it is 108 and 108 divided by 40 is 2.7. if you multiply 12 and 9 by 1.5 you get 18 abd 13.5 when you multipy thoseyou get 243abd 243 divided by 2.7 equals 90.

you are going to have to multiply 12 by 9 which is 108 and then divide by 40 is 2.7… if multiply 1.5 by 12 you get 18 and if you multiply 1.5 by 9 then you get 13.5.. then multiply those and you will get 243.. if you divide that by 2.7 then you get 90.. so the students will need 90 bags of sand..

It would take 90 bags to cover the rectangular area under the large swing set. First I got this answer by multiplying (9)(12) which equals 108. Then, i multiplied that by .25 and that equaled 27 square feet. After i divided it by the 40 bags it took to increase the depth and the extra 3 inches. That equaled 0.675 per one bag of sand. Then you do 12 and 9 times 1.5 and i got 13.5. Then i multiplied 13.5 by 18 and i got 243. After i multiplied 243 by .25 and got 60.75. Lastly i divided 60.75 and 0.675 per one bag and that is how i got the answer of 90 bags

I think it will take 90 bag to cover the rectangular under the large swing set.I got this by multiplying 9(12) and i got 108 then i multiplied that by 0.25 and that equals 27 square feet.Then i divided it y 40 bags it took to increase the depth and the extra 3 inches that equaled 0.675 per one bag of sand.Then you do 12 and 9 times 1.5 and i got 13.5 then multiplied 13.5 by 18 and i got 243 then 243 by 0.25 and get 60.75.Finally I divided 60.75 and 0.675 per one bag and that’s how i got my answer.