Question

It is 75¾ miles from my house to the Georgia Aquarium. On my map it measures 1½ inches. What is the scale of the map?

Answer 1

The scale of map is 1 inch equals $50\frac{1}{2}$ miles.

Step-by-step explanation:

Given,

Distance from House to Aquarium = $75\frac{3}{4}$ miles

Distance on map = $1\frac{1}{2}\ inches$

Therefore;

$1\frac{1}{2}\ inches=75\frac{3}{4}\ miles\\\frac{3}{2}\ inches=\frac{303}{4}\ miles$

As the scale measures in unit rate, therefore, multiplying both sides by $\frac{2}{3}$

$\frac{2}{3}*\frac{3}{2}=\frac{303}{4}*\frac{2}{3}\\1\ inch=\frac{606}{12}\ miles\\1\ inch= \frac{101}{2}\ miles\\1\ inch= 50\frac{1}{2}\ miles$

The scale of map is 1 inch equals $50\frac{1}{2}$ miles.

Keywords: fraction, division

Learn more about fractions at:

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