### Oh The Place You’ll Go!

February1

**On the map above, 1/4 inch represents 1 mile. Candler, Canton, and Oteen are three cities on the map. **

**a) If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?**

**b) If Candler and Oteen are 3 1/2 inches apart on the map, what is the actual distance between Candler and Oteen in miles?**

**If you expect full credit, you will provide an explanation along with your answers!!!**

A.) 9 miles between Candler and Conton = 2 1/4 because the rule is 1/4 = 1 mile.. 9 divided by 4 is 2 with 1 left would equal 1/4 all together is 2 and 1/4 in.

B.) Its 3 and 1/2 between Candler and Oteen so in miles it would be 14 miles .. Again the rule is 1/4 = 1 mile .. 3×4 is 12 and 1/2 = 1/4+1/4 so that’s 2 …. 12+2=14 miles

What i did to figure out how many quarters are in 1 mile and i got 1/4 and from there i just added 1/4 to each mile. So for 9 miles it would be 2 1/4 inches and that is the distance between candler and canton

For b what i did was that i kept adding on in the quarter miles and i kept going from 9 So when i got to 13 miles the inches was 3 1/4 inches from candler to oteen

A) for a what idid was figure out how many quartes are in 1 mile and i got 1/4 and from tere i just adding 1/4 to each mile. so for 9 miles it would be 2 1/4 inches that is between Candler and Canton.

B) for B what i did was first i kept adding on in the quarter miles and i kept going from nine. when i got to 13 miles the inches was 3 1/4 inches apart from Candler and Oteen.

for a. is they are 1/4 icnches away from each other. for b. is 312 miles because if you divide 312 and 1 you get 312

How did you find your answers Michelle?

a. you do 1/4 times 9 which is 2 and 1 4th which means Chandler and Canton are 2 1/4 inches apart

b. if 9 miles is 2 1/4 than 3 1/2 is 14 miles because you counting up from 2 1/4 starting at 9

For letter A I got 18 miles. I thought it would be 18 miles because 2 of the distances between Canton and Candler is about 18 miles.

For lette B I got 7 because the distance between Candler and Oteen is about 2 of the distance between Canton and Candler.

Did you use the scale or the map to figure out your answers?

a)2 14 inches

b)14 inches

How did you get your answers Harrison?

A]. it is 2/9 inches

B].it is 31/2 miles

How did you get your answers Eric?

A) The distence of the cities on the map in inches is 2 1/4 because if you keep on adding 1/4 until you get 9, which is 9/4. If you reduce that this, 2 1/4 will appear. So you can add each 1/4 by one so therefore it’ll be 9 miles.

B) You will need to make 3 1/2 into a improper fraction. Which is 7/2. Then, you have to put the 2 into a 4. So multiply 2 and 7 by 2 and you will get a fraction of 14/4. Again add 1 by every 1/4 and you’ll get 14 miles. So the distance is 14 miles

what i did was on A i brook the nine miles down into quarter inched then i counted four quarter inches to make a whole inch and came up with 2 and a puarter inch

for B i brook down 3 1/2 inches then i brake it down into quarter inches it take four quarters to make a whole and then i counted it up and got 14 miles between candler and oteen

The distance between Canton and Candler is 2.25 inches.

The miles between Candler and Oteen is 14 miles.

How did you find your answer Tristin?

ok i added 1/4 to 2/4=2/2=3/2

Make sure you read the entire question Ontario, so that you are answering everything the problem is asking of you!

1/4 miles apart from each other

31/2 divided by it by 1 and i gout the same awnser

How did you get your answers Rebeca?

14 miles because 4 times by 3= 12 then plus 2 equals 14

Make sure you read the question very carefully Jason, so that you are answering everything it is asking.

For question a) the answer is 9 * .25; and it = 2.25

And for question b) the answer is 3 1/2 or 3 2 /4 so

3 2/4 * .25 and that = 7/8

A.)THE DIDTANCE BETWEEN THE CANDLER AND THE CANTON IS 2 1/4.

B.)THE DISTANCE BETWEEN THE CANDLER AND THE CANTON IS 14

How did you find your answer Jada?

A) The distance betwen candler and canton on the map is 2 1/4 because if you mutiply 1/4 and 9 miels you would get 2 1/4

B) The distance betwen canndler and oteen on the map is 14 because if you divide 3 1/2 and 1/4 it will equal 14

A] the answer for a is gonna be 2 1/4 becasue i multiplied 1/4 by 9 and my answer was 9/4 and than i divided 4 by 9 and got 2.25 and i rounded 25/100 and my answer was 2 1/4.

B] the last question i had to divided 3 1/2 by 1/4 but than i had to to multiply 7/2 by 4/1 and my answer was 28/2 so than i had to divided 28 by 2and answer was 4

3 miles apart a) 1 mile apart b)10 miles apart

How did you find your answer Jason?

A) The distance between Candler and Canton on the map is 2 1/4 inches apart.

B) If Candler and Oteen are 3 1/2 inches apart on the map then it is 14 miles apart from the actual distance

How did you find your answer Allyson?

a) Candler and Canton are 2.25 inches apart which eqals to 9 miles.

b) Candler and Oteen are 3.50 or 14 miles apart.

How did you find your answer Turie?

the distince between the real towns is about 2 miles

the real distince between chandler and oteen is about 11 miles

How did you find your answer Audra?

A. It would be 2 1/4 in. because 1/4 multipled by 9 is 9/4 simplafied to 2 1/4.

B. It would be 14 miles because if you turn 3 1/2 into a improper fration then divide it by use the recipacle so that would be 7/2 times 4/1 and that would make 14

a) The first thing that I did was that I multiply ¼ times 9 because my answer will say how many inches are from the towns. When I was multiplying I saw that ¼ = 0.25 because I think of quarters. So my answer is 2.25 but converted to 2 1/4 inches.

b) The first thing that I did was that I divided 3 ½ by ¼ because each ¼ of a inch represents 1 mile.

The actual distance between Candler and Oteen is 14 miles.

a) i think that the canton and the candler are um 2.25 inches away from each other cause um i multiplied um 9 and 1/4 to see my answer and i got 2.25 i did that cause that is how yu gotta do it to solve this problem 🙂

b) i think 14 miles cause um i multipled 1/4 to varios numbers to see wat would equal 3 1/2 and i knew that the number gots to be bigger than nine since nine equaled 2.25 so i kept on making the number bigger until i got tree in a half and 14 was the correct answer so that is how i knew that it was 14 miles

alright, so question number one is saying how far apart are the real towns of Candler and Canton on the map? so if 1/4 equals a mile on this map then the real towns of Candler of Canton will be 2 1/4 of a mile apart. Now, question number two is saying what is the real distance between Candler and Canton? so it says that on the map that the towns of Candler and Oteen are 3 1/2 inches apart on the map so then the answer would be that the two cities are actually 15 miles apart.

How did you find your answers Emma?

A) If Candler and Canton it would be 2 1/4 inches.Its this because for every 1/4 inch its a mile, so 9 would make 9/4 you can make 2 inches because there is 8 then the left over mile would be 1/4 so its 8 1/4

B) The actual distance of Candler and Oteen is 14 miles from each other.This is because when its 3 inches you would multiply that by 4 because for every 1/4 inch its a mile you would have 12 miles so far.Then there’s the left over 1/2 that would equal 2.Add them all up it would add up to 14.

1) there are 9 miles away. 2) they’re 25 miles away

How did you get your solution Logan?

A) The distance between Candler and Canton on the map is 2 1/4 inches. If 1 mile equals 1/4 inch, then 9 times 1/4 equals 2 1/4.

B) The distance between Candler and Oteen is 14 miles.

Thanks Ben! Make sure you explain how you got each answer!

a.) Candler and Canton are 2 1/4 inches apart on the map. To get my answer, I multiplied 1/4 x 9/1 = 9/4 and simplified that to 2 1/4

b.) Candler and Oteen are 12 miles apart. I got my answer by dividing 3 1/2 by 1/4. I changed 3 1/2 into an improper fraction which was 7/2, and when you divide fractions you have to multiply by the reciprocal so I multiplied 7/2 x 4/1 which was 28/2 which I reduced to 12.

a. inches/miles inches= 1/4 miles= 1

1/4 multiplied by 9 = 2 1/4 inches

x = 2 1/4 inches

b. miles/inches inches = 3 1/2 miles = x

3 1/2 over 1/4 = x over 1

3 1/2 times 1 = 3 1/2 1/4 times x = 1/4 x

3 1/2 divided by 1/4 = 14 miles

A.) 36 inches

B.) 14 miles

I got 36 inches for A by taking 9 and dividing it by .25 (1/4). I did that so I could find out how many inches would be in 9 miles.

I got 14 miles for B by taking 3.5 (3 1/2) and dividing it by .25 (1/4). I did that so I could find out how many miles 3 1/2 inches represents on the map.

I DID 4X9=36inchs I did that because I got 4 quarter inches in one mile. I got 9 because the problem said the distance between Candler and Canton is 9.

I did 4 quarter inches times 3 1\2 = 14 miles

Candler and oteen are 14 miels apart.

A: the answer is 2 1/4 I got this by doing 1/4 times 9 and got 2 1/4 so that is how far apart Candler and Canton are on the map.

B:The answer is 14 miles I got this by doing 3.5 divided by 1/4 in a decimal which is .25 and got 14 miles is how many miles are Candler and Oteen are in miles.

A:The distance between Candler and Canton is 36. To get this answer I took 9 and divided it by .25 which is what 1/4 would as a decimal and I got 36.

B: The distance between Candler and Oteen is 72. To get this answer I took 3 1/2 and converted into a decimal and I got 3.50 and divided it by .25 and got 72.

a) The answer is 2.25 inches because 0.25(9)= 2.25

b) The answer is 14 because 3.5/0.25=14

How did you find your solutions Julian?

A) On the map Candler and Canton are 36in apart. I know this because if you create the proportion 0.25in/ 1mi = x / 9mi you get x = 36in.

B) The actual distance from Candler and Oteen in miles is 14miles. I know this because if you create the proportion 0.25in / 1mi = 3.5in/x you get x=14in.

A. The distance between Candler and Canton on the map is 2 1/4 in. because first I followed the scale, it would take 4 miles for it to reach an inch on the map, so 2 inches is eight and one 1/4 makes it 9 miles.

B. The actual distance between Candler and Oteen in miles is 14 miles because every inch is 4 miles and there’s 3 in, so 3 times 4 is 12, and every 1/4 is 1 mile, so 1/2 makes 2 more miles, 12+2=14

A)You multiply 1/4 by 9 and that equals 2 and 1/4 or 2.25

B)you make 3 1/2 into fourths. they are 14 miles apart

Thanks Renee! Make sure you explain in lots of detail how you find your solutions!

A)

On the map Canton and Candler are 2.25 inches apart on the map.

1/4 inches = 1mile is the scale of the map. I converted 1/4 inches to 0.25 and then i multiplied it by 9 miles to get 2.25 inches.

B)

Candler and Oteen are 3 1/2 miles apart on the map. So I used the scale to find the real distance.I found the answer by converting 3 1/2 to 3.50 then I divided by 0.25 and I got 14 miles.

The actual distance between Candler and Oteen 14 miles.

A) Well what you would do is .9/.25=3.6

So Candler and Canton are 3.6 inches apart from each other on the map.

B) So you would do 3.50/.25=14

In reality, Oteen and Candler are 14 miles away from each other.

Samantha B.

A) Candler and Canton are exactly 1.75 inches away from each other. I found this out by looking at problem B. Problem B said Candler and Oteen are exactly 3 1/2 inches away so i looked at the map and Candler and Oteen are half as farther as Candler and Canton so i did 3 1/2 (distance between Candler and Oteen) divided by 2 (because Candler and Oteen are only half farther than Candler and Canton) and i got !.75 inches as the answer or // Candler and Canton are exactly 1.75 inches far from each other.

B) Candler and Oteen are exactly 14 miles away from eachother. I found this out by dividing 1/4 (1/4 is equal to 1 mile) into 3 1/2 ( how far in iches it is) and got 14 as my answer or // Candler and Oteen are exactly 14 miles from eachother on a real map.

My answer for the first one is 3 is going to be and for the last one is going to be 14 .

Make sure you read the problem very carefully Lisbeth and that you answer everything the question is asking of you! Also, make sure you explain how you found your solutions!

A) Since Candler and Canton are 9 miles apart and 1/4 inches represents 1 mile I multiplied 1/4 and 9/1 because I made the 9 miles into a fraction and I got 9/4 and when I divided 9 and 4 I got 2.25 inches.So The distance between Candler and Canton on the map are 2.25 inches.

B) Since the question already tells me that Candler and Oteen are 3 1/2 inches I know that I have to divide so I divided 7/2 and 1/4 because 1/4 inch represents a mile and when I divided them I got 7/2 and when I divided 7 and 2 I got the answer is 3.05 miles apart between Candler and Oteen.

A. Candler and Canton are 11 1/4 inches on the map. I got this by converting 1/4 into a decimal which is 1.25 and multiplied that by 9 to get 11.25 or 11 1/4 inches. B. The actual distance between Candler and Oteen is 14 miles. I got this by counting that there are 4 (1/4) in 1 whole number so I counted 4 miles for every whole number and since it’s 1 mile every 1/4 inch, the answer is 14 miles

Candler and Canton are 2.25 inches apart form one another on the map. To get what i got multiply .25 by 9. Candler and Oteen are 14 miles apart. To get what I got you divide 3.5 by .25

on the map it is 3 1/2 inches apart but in real thing there are 9 miles away

Make sure you read the questions very carefully Skylar. You only answered on part of this question! You also need to explain how you found your solutions!

a.)chandler and canton would be 2.25inches apart

b.) chandler and oteen would be 14 miles apart

How did you find your solutions Landon?

A) Candler and Canton is 2 1/4 inch for 9 miles.I found the answer by… If 1 (mi) equals 1/4 (inch) and the distance between Candler and Canto is 9 (mi) then I figured that the 1 (mi) was multiplied by 9 so I did the same thing to the 1/4 (inch).( 1/4 (inch) over 1 (mi) which then equaled x (inch) over 9 (mi). Then what had to be done was 1/4 * 9/1 which is one fourth times nine over one and the answer I got was 9/4 reduced to 2 1/4 (inch) ). That is how I found my answer.

B) The distance between Candler and Oteen is 10 (mi) for 3 1/2 (inch). I found my answer by turnning 3 1/2 (inch) into an improper fraction (times the denominator by the whole # and subtracting the numerator) then I used the S.F.M. (Skip, Flip, & Multiply) on my next equation, which is 5/2 (inch) * 4/1 (inch) and I got 20/2 (inch). so if I divied 20/2 (inch) i will get 10 (mi), and that is how I found my answer.

a) so you have to times 1/4 times 9 but you have to make 9 in to a fraction so you have to do 9 over 1 so thats going to be 9 over 4 and you have to divide 9 by 4 and thats going to be 2 1/4

b)you have 3 1/2 and you have to make that in to a improper fraction and you get 7 over 2 and it says 1/4 = 1 mile so we have to times 7 over2 by 1/4 but you have to do the reciprocal so its 4 over 1 then when you times that you get 28 /2 then you have to divide that and you get 14 and to check that you times 1/4 by 14 /1 and you get 14/4 and when you divide that its 3 2/4 and then get 3 1/2 so its 14 miles

1) Candler and canton are 36 inches apart. To find my answer first i divided converted 1/4 into .25 Then i divided .25 into 9 and got 36 as my answer.

2) candler and oteen are 3 1/8 miles apart. First i multiplied 3 1/2 by 1/4 and got 3 1/8 miles as my answer.

Thanks Citlally! Remember that we can use proportions to find missing measurements in a scale! 🙂

A.)2 1/4 inches. Because if it is 9 miles, every 1/4 inch is 1 mile, so 1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4=9/4inches. So 8/4= 2 miles + 1/4 that is extra, so they are 2 1/4 inches away from each other on the map.

~

B.)14 miles apart. Because every 1/4 of an inch, it is one mile, and 1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4+1/4 is 14/4in. And every 1/4 of an in equals one mile, so between Candler and Oteen, it is 14 miles.

A) 2.25 inches because 9×1/4 is 2.25. B) 14 miles because 1/4 goes into 3 1/2 14 times.

A) if Candker and Canton is 9 miles apart and each 1/4 inch equals 1 mile then i multiplied 9×1/4 and got 9/4 which equals 2 1/4 inches on the map.

B) if Candler and Oteen are 3 1/2 inches apart and each 1/4 inch = 1 mile then i figured out that 3 1/2 inches = 14 miles apart.

How did you figure out part B Katie?

A) Candler and Canton are 2 and one fourth inches apart, or 2.25 inches apart. First I made the ratio 1/4 over 1 because 1/4 of an inch represents 1 mile. Then I did x over 9 because I needed to find out how many inches 9 miles were. Since I had both ratios I made the proportion 1/4 over 1 = x over 9. You could cross multiply with the heart, but I multiplied straight across. I multiplied 1/4 with 9 and I got 2 and 1/4.

B) The actual distance between Candler and Oteen is 14 miles. First i made the ratio 1/4 over 1. Then I made the ratio 3 1/2 over x because I needed to find out how many miles 3 1/2 inches was. I made the proportion 1/4 over 1 = 3 1/2 over x. I cross multiplied. I got

1/4x = 3 1/2. I turned 3 1/2 into 7/2 and multiplid it by 4/1. I ended up with 14. The actual distance was 14 miles.

a) the amount of inches far candler and canton are 2 1/4 inches apart because I multiplied 1/4 and 9/1 to get my answer.

B) candler and oteen are 14 miles away because I divided 3 q1/2 by 1/4 to find my answer.

a) I got 4 because I did 1/4 times 1/9 (flipped around 9/1) and then I got 1/54. so I divided 54 and 9 because 9 was the original miles and I got 4. so that’s how I got my answer.

b) I got 14 miles because I made 3 1/2 into an improper fraction which was 7/2, then I took 4/1 (flipped around 1/4) and multiplied them both straight across. I got 28/2 so I divided 28 and 2 and got 14.

Thanks Bernice! Remember that you can use proportions to help you solve scale problems!

Sorry I got that answer to letter A by knowing that 1/4 is the same as .25 so I multiplyed .25 times 9 and you get 2.25 and .25 means 1/4 so your answer is 2 1/4.

I got my answer to letter B by knowing that 1/4 is .25 and that 1/2 is .50 so then you multipley 3.25 by .50 and you get 14

A)the distance between candler and canton is 2.25 because 9*0.25 eguals 2.25

B)14 miles because 1/4 goes into 3 1/2 14 times

A) is 9 miles because you divide 2 1/4 in to 1/4 and u get 9

B) is 13 inches because u just keep adding 1/4

A.) 9 miles between Candler and Canton = 2 1/4 because 1/4 = 1 mile so 9 divided by 4 is 2 with 1 left over would equal 1/4 and would equal 2 and 1/4. B.) 3 and 1/2 inches between Candler and Canton in miles it would be 14 miles.So the rule is 1/4 = 1 mile 3×4 is 12 and 1/2 = 1/4+1/4 so that’s 2 …. 12+2=14 miles

A: the answer i got is 2 1/4 I got this by doing 1/4 times 9 and got 2 1/4 so that would be how far apart Candler and Canton are on the map.

B:The answer i got was 14 miles I got this by doing 3.5 divided by 1/4 in a decimal which would be .25 and got 14 miles which is how many miles Candler and Oteen are in miles 🙂

a) i got 4 because i flipped and then i divided. i flipped 1/9 to get 9/1 and divided 9 by 54.

b)i got 14 miles because i flipped 4/1 to get 1/4 then i multiplied it by 7/2 because i took 3 1/2 and turned it into an improper fraction.

A is 4 because when I took 1/4 and 1/9 and multiplied them together I got 1/54. Then I just divided 54 from 9 and got 4.

B I got 14 because I knew I had to turn 3 1/2 into a improper fraction and I got 7/2. Then I multiplied 1/4 by 7/2 and got 28/2.

Then I divided 28 and 2 and got 14.

A)is21/4 B)14

A) the answer is 2 1/4 because I multiplied 1/4 and 9 and got 9/4 then divided them and got 2 1/4.

B) the answer is 14 miles because I divided 1/4 and 3 1/2 and 1/4 goes into 3 1/2 14 times.

A) The distance between Candler and Canton is 2.25 or 2 1/4 inches. I got my answer by 9/1=4/1. As you could see I flipped 1/4. Then, I got 9x=4 so I did the opposite operation which is division and got 2.25 which equals 2 1/4 inches. That’s how I got my answer for A.

B) Candler and Osteen are 14 miles away. I got by answer by making 3 1/4 into an improper fraction which was 7/2. Then, I cross multiplied 7/2= 1/4 which was 2x=28. After, I did the opposite operation and got 14 miles. That’s how I got my answer or B.

A.) My answer was 2 1/4 because first i multiplied 9 by 1/4 and then i got 9/4 and i reduced and my answer would be 2.25 and that is how i got 2 1/4

B.) The distance is 3 1/2 which is also 3.50 and if you divide it your answer would be 14 Miles

A)i got 4

B)i got 14

A.I got 3 1/4 i add 1/4 in tell i got 9 and B. I got 10 miles because i added in tell i got 3 1/2 that is my answer for both of the problem.

a) 2 and 1/4 inches. 1/4 times 9/1 equals 9/4 which is 2 and 1/4 inches

b) 14 miles because there are 12 miles in 3 inches and 2 miles in 1/2 an inch.

a) 2 1/4 inches

b) 16 miles

A) it would be 2 1/4 because 1/4 times 9= 9/4 then i simplified it

B) first you multiply 3 1/4 and since 1/4 = i mile it would be 14 😆

one*

A) 4

B) 14

what i did was i put 2 1\4 inches divided that by 2.25 then i got 9x=4 then i did the reverse operation and got 1\4 nches

i made 3 1\4 into a imprper fraction which landed me with 7\2 then did the heart operation on 7\2 and1\4 and got 2x=28 then revres the opertion and got 14 miles.

A. the answer for a is going to be 2 1/4 because i divided 1/4 by 9 and my answer was 9/4 and than i divided 4 by 9 and got 2.25 and i rounded 25/100 and my answer was 2 1/4.

a) the distance between the two citys is 36 inches

b)they would be 7 inches apart

(a) 2.25 inches

(b)14miles

The distance between Candler and Canton is 36 inches apart.

A.)The answer that I got was 2 1/4, I got my answer by Multiplying 1/4 and 9/1 and got 9/4 and then reduced it down to 2 1/4

B.)The answer that I got was 14miles,I got my answer by Dividing 3 1/4 and 1/4 and got 14miles

A) the anwser for A is going to be 21/4 because i multiplied 1/4 by 9 and i got 9/4 and then i divided 4 by 9 and got 2.25 and u rounded 25/100 qnd my abwser came out too 2 1/4.

B)the last question i had to divide 3 1/2 by 1/4 but then i had to multipy 7/2 by 4/1 abd my anwser was 28/2 so then i divided 28 by 2 and got 14.

a) if you divide 4 by 9 then you get 2.25. if you put that in a fraction then you get 2 1/4

b)I made 3 1/4 into an improper fraction, which made 7/2. then I did the heart operation and did 7/2 and 1/4 and then I got 2x=28. then I divided bother sides by 2 and I got 14 miles.

a) canton and candler are 2 and 1/4 inches apart on the map because 9 times 1/4 is 2 and 1/4.

b) candler and oteen are 14 miles apart because 1/4 goes in to 3 1/2 14 times

a) 2 1/4 divided by 2.25 than i got 9 equals 4. in all i got 1/4.

b) i made 3 1/4 into an improper fraction than i got 7/2 than i did the heart equation and than i got 1/4.

For letter A I got 18 miles. I thought it would be 18 miles because 2 of the distances between Canton and Candler is about 18 miles.

B) The actual distance from Candler and Oteen in miles is 14miles. I know this because if you create the proportion 0.25in / 1mi = 3.5in/x you get x=14in.

A)1 mile = 1/4 quarters i just addes it til 9 miles which is 2 1/4 for Candler and Canton

B) i added on quarters miles and kept going on from 9 i got 13 miles and it was 3 1/4 inches from Candler and Oteen