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A scale on a hiking map shows that 3 inches represents 1.25 miles.
What number of inches on the map represent 10 actual miles?
inches

A scale on a hiking map shows that $3$ inches represents $1$ . $25$ miles. $\newline$ What number of inches on the map represent $10$ actual miles? $\newline$ inches

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Add and subtract decimals: word problems

Full solution

Q. A scale on a hiking map shows that

3

inches represents

1

.

25

miles.

\newline

What number of inches on the map represent

10

actual miles?

\newline

inches

Identify Ratio on Map: Identify the ratio given by the scale on the map. $\newline$ The scale is $3$ inches for every $1.25$ miles.
Set Up Proportion: Set up a proportion to find out how many inches represent $10$ miles. $\newline$ If $3$ inches represent $1.25$ miles, then $x$ inches represent $10$ miles. $\newline$ So, the proportion is $\frac{3 \text{ inches}}{1.25 \text{ miles}} = \frac{x \text{ inches}}{10 \text{ miles}}$ .
Solve for x: Solve for x by cross-multiplying the proportion. $\newline$ $3$ inches $* 10$ miles = $x$ inches $* 1.25$ miles $\newline$ $30 = 1.25x$
Divide to Find x: Divide both sides of the equation by $1.25$ to solve for $x$ . $\newline$ $\frac{30}{1.25} = x$ $\newline$ $x = 24$

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