Chapter 6.1, Problem 21PPE

To determine

To calculate: Number of aerobics classes which will cost for members and nonmembers the same amount.

Answer to Problem 21PPE

10 aerobics classes.

Explanation of Solution

Given information: At a local fitness center, members pay a $\$20$ membership fee and $\$3$ for each aerobics class. Nonmembers pay $\$5$ for each aerobics class.

Calculation:

Let’s say for $x$ number of aerobics classes, cost of members and nonmembers will be equal.

Now, cost of members will be $20+3x$ and cost of nonmembers will be $5x$

  $\begin{array}{l}\therefore 20+3x=5x\\ \therefore x=10\end{array}$

Therefore for 10 aerobics classes, cost of members and nonmembers will be equal.