Question

Suppose you are building a model car that is 11 inches long. The actuallength of the car is 177 inches. What is the width of the model car if the actual car is 80inches?

Answer 1

Answer:

5.0 in

Explanation:

We know on a model

11 inches = 177 inches

and we are asked the following question.

? inches = 80 inches

To find the answer, we make use of the ratios.

$\frac{11}{177}=\frac{?}{80}$

In other words, the ratio between 11 and 177 must be the same as the ratio between ? (unknown) and 80 inches.

Now multiplying both sides of the above ratio equation by 80 gives

$\frac{11}{177}\times80=\frac{?}{80}\times80$$\frac{11}{177}\times80=?$

Evaluating the left hand side using a calculator gives

$4.97=?$

or more appropriately

$?=4.97$

rounding the above to the nearest tenth gives

$?=5.0$

This means that the width of the model car is about 5.0 inches if the actual width is 80 inches.