Question

donica wants to join a gym.
gym a: $20 joining fee and $40 monthly charge.
gym b: no joining fee and $45 monthly charge.
enter the number of months it will take for the total cost for both gyms to be equal.

Explanation:

Step1: Define variables and cost equations

Let $m$ = number of months.
Total cost for Gym A: $C_A = 20 + 40m$
Total cost for Gym B: $C_B = 45m$

Step2: Set costs equal to each other

$20 + 40m = 45m$

Step3: Solve for $m$

Subtract $40m$ from both sides:
$20 = 45m - 40m$
$20 = 5m$
Divide both sides by 5:
$m = \frac{20}{5} = 4$

Answer:

4