Question

Charlie's company pays him for every mile that he drives on his trip. When he drives 50 miles, he is paid \(30. To the nearest tenth, how many miles did he drive if he was paid \)275?

Short answer

He drove 458.3 miles to get $275.

Step-by-step solution

Step 1. Write the given information.

Charlie gets $30 when he drives 50 miles.

To determine: The number of miles he drives to get $275.

Step-2. Assumption.

Let x be the number of miles he drives to get $275.

Step 3. Calculation.

Calculation:

For 1 mile, Charlie will get:

$\begin{array}{l}=\frac{30}{50}\\ =\frac{3}{5}\text{dollars}\end{array}$

Then the required equation will be$x=\frac{275}{\frac{3}{5}}$

$\begin{array}{l}=\frac{1}{\frac{3}{5}}\times 275\\ =\frac{5}{3}\times 275\\ =458.3\text{\hspace{0.17em}miles}\end{array}$

Hence, he drove 458.3 miles to get $275.