Chapter 1.5, Problem 23E

a.

To determine

To find: A linear equation for variable $x$ .

Answer to Problem 23E

For $\$315$ you can take $3$ ski trips while for $\$485$ you can take $5$ ski trips.

Explanation of Solution

b.

To determine

ToFind: The total number of ski trips if you spend a total of $\$315and\$485$ .

Answer to Problem 23E

For $\$315$ you can take $3$ ski trips while for $\$485$ you can take $5$ ski trips.

Explanation of Solution

Calculation:

For, C = 315

  $\frac{C-60}{85}=x$

  $\begin{array}{l}\frac{315-60}{85}=x\\ x=\frac{255}{85}\\ x=3\end{array}$

For, C = 485

  $\frac{C-60}{85}=x$

  $\begin{array}{l}\frac{485-60}{85}=x\\ x=\frac{425}{85}\\ x=5\end{array}$

For $315 you can take 3 ski trips while for $485 you can take 5 ski trips.