If 10 inches on a map represents an actual distance of 100 feet, then what actual distance does 25 inches on the map represent?

Explanation

Because the ratio of inches to actual distance is constant, a proportion can be used to solve for the unknown distance. Set up a proportion to represent the situation. The question supplies a ratio of 10 inches to 100 feet and asks for the distance represented by 25 inches. Write a proportion equating the given information with the unknown information, being sure to keep the units of each ratio consistent (all inches on top or all inches on bottom):

\(\frac{10in}{100ft}=\frac{25in}{xft}\)

Use cross multiplication to solve for the unknown, x feet, as follows:

10x=25*100

x= 250 ft

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