I tried and i tried and still can't get the right answer. A scale on a map shows that 2 inches = 25 miles.  Part AHow many inches on the map represent 60 miles? Part BHow many miles are...

I tried and i tried and still can't get the right answer.

A scale on a map shows that 2 inches = 25 miles. 

Part A
How many inches on the map represent 60 miles?

Part B
How many miles are represented by 14 inch on the map?

3 Answers | Add Yours

gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

Scale: 2 inches = 25 miles

1) 1 mile = 2/25 inches

thus, 60 miles = 60 x 2/25 = 4.8 inches

2) 2 inches = 25 miles

thus, 14 inches = 25/2  x 14 miles = 175 miles

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electreto05's profile pic

electreto05 | College Teacher | (Level 1) Assistant Educator

Posted on

You can do this by establishing equality of reasons. In this case we have that, two inches account for 25 miles; and the question is; How many inches, represent 60 miles?

This can be stated as follows:

2 inches  →  25 miles

x inches  →  60 miles

Or as equality between two reasons:

2/x = 25/60

Solving for  x, we have:

x = (60)(2)/25 = 4.8 inches

In Part b, you can use the same procedure, that is:

2 inches  →  25 miles

14 inches  → x miles

Or, in the form of equal reasons:

2/14 = 25/x

Solving for  x, we have:

x = (14)(25)/2 = 175 miles

So, in your map we have the following:

60 miles are equivalent to 4.8 inches and 14 inches represents 175 miles.

gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

for 1/4 inch

since 2 inch = 25 miles

1/4 inch = 25/2 x 1/4 miles = 3.125 miles.

hope this helps.

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