On a particular road map, $\frac{1}{2}$ $1/2$ inch represents 18 miles. About how many miles apart are 2 towns that are $2 \frac{1}{2}$ $2 1/2$ inches apart on this map?

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Answer 1 · 2017-11-18T05:10:50

90 miles

In this case we say

$\frac{1}{2} inch = 18 miles$ $1/2 " inch" = 18 " miles"$

Multiplying both sides by $2$ $2$ gives

$1 inch = 36 miles$ $1 " inch" = 36 " miles"$

Multiplying both sides by the $2 \frac{1}{2}$ $2 1/2$ inches between towns gives

$2 \frac{1}{2} \times (1 inch) = 2 \frac{1}{2} \times (36 miles)$ $2 1/2 xx (1 " inch") = 2 1/2 xx (36 " miles")$

$2 \frac{1}{2} inches = 90 miles$ $2 1/2 " inches" = 90 " miles"$

On a particular road map, 1/2121/2 inch represents 18 miles. About how many miles apart are 2 towns that are 2 1/22122 1/2 inches apart on this map?