Question

A map of Texas shows the scale to be 1in per 80 miles. The distance between Austin and Corpus Christi is 232 miles. How many inches apart will the two cities be on the map

Answer 1

The two cities will be 2.9 inches apart on the map.

Step-by-step explanation:

Given scale of map is;

1 inch = 80 miles

Ratio of inch to miles = 1:80

Actual distance between Austin and Corpus = 232 miles

Let,

x be the distance between Austin and Corpus on map.

Ratio of inch to miles = x:232

Using proportion;

Scale ratio :: Actual ratio

$1:80::x:232$

Product of mean = Product of extreme

$80*x=232*1\\80x=232$

Dividing both sides by 80

$\frac{80x}{80}=\frac{232}{80}\\x=2.9$

The two cities will be 2.9 inches apart on the map.

Keywords: ratio, proportion

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