Question

Actual distance between two places is 130 miles. The scale of the map is

1 in:100 miles. What is the distance between these two places in the map?

Answer 1

1.3 inches

Explanation:

1. Determine what you already know in order to set up the equation:

1 inch = 100 miles

x inches = 130 miles

Solving for x

2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)

`(100)/(1)` =
`(130)/(x)`

3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)

100x = 130

4. Divide each side by 100 to isolate the variable.

x = 1.3