Q25. - Algebra 1

Question

MAPS On a map of North Carolina, the distance between Charlotte and Wilmington is 14.75 inches. If 2 inches equals 24 miles, what is the approximate distance between the two cities?

Step-by-Step Solution

Answer

The approximate distance between the Charlotte and Wilmington is 177 miles.

Step 1. Given information.

The distance between Charlotte and Wilmington is 14.75 inches on a map of North Carolina.

Where 2 inches equal 24 miles.

Step 2. To find the equation of the problem.

Suppose the distance between Charlotte and Wilmington is $x$ miles.

And, 2 inches equals 24 miles.

So, $\frac{24}{2}=\frac{x}{14.75}$

Step 3. To find the value of x .

To solve the above equation:

$\begin{array}{l}\frac{24}{2}=\frac{x}{14.75}\\ \Rightarrow 12=\frac{x}{14.75}\\ \Rightarrow x=12\times 14.75\\ \Rightarrow x=177 \mathrm{miles}\end{array}$

Hence, the approximate distance between the Charlotte and Wilmington is 177 miles.