Question

A gym charges a $49.95 activation fee and $17.50 per month for a membership. If you spend $364.95 for how many months do you have a gym membership?

Answer 1

If you spend $364.95 it is for 18 months of a gym membership.

Substituting and solving for m gives: 364.95 = 49.95 + m17.50

1. 364.95 − 49.95 = 49.95 + m17.50 − 49.95
2. 315.00 = 49.95 − 49.95 + m17.50
3. 315.00 = 0 + m17.50
4. 315.00 = m17.50
5. 315.00 ÷ 17.50 = m17.50 ÷ 17.50
6. 18 = m17.50 ÷ 17.50
7. 18 = m
8. m = 18

Explanation:

We can write an equation for this problem as: T = a + mf

Where:

• T is the total cost of the gym membership - $364.95 for this problem

• a is the activation fee - $49.95 for this problem

• m is the number of months of membership - what we are trying to solve for in this problem.

• f is the monthly membership fee - $17.50 for this problem.

Answer 2

18 months.

$364.95 - $49.95 = $315

$315 / $17.50 = 18