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Mathematics

Grade9

Easy

Question

The scale of the map at the right is 2 inches: 20 miles. What is the actual distance if the map distance is 5 inches?

50 miles
20 miles
40 miles
70 miles

hint Hint:

The scale is a ratio that describes how the dimensions in the drawing are related to the actual dimensions of the object. Find scale and use it to find the actual distance if the map distance is 5 inches.

The correct answer is: 50 miles

The scale is a ratio that describes how the dimensions in the drawing are related to the actual dimensions of the object.
$fraction numerator 5 over denominator x end fraction equals fraction numerator 2 over denominator 20 end fraction$
$2 x equals 100$
$x equals fraction numerator 100 over denominator 2 end fraction$
$x equals 50$
$x equals 50 text miles end text$
Therefore, the actual distance if the map distance is 5 inches is 50 miles.

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