Question

1. two gyms offer different pricing. gym a charges $25 per month plus a $150 enrollment fee. gym b charges $40 per month plus a $75 enrollment fee. after how many months will the total cost be the same?

a. 3 months
b. 5 months
c. 7 months
d. 10 months

Explanation:

Step1: Define variable for months

Let \( x = \text{number of months} \)

Step2: Set up cost equations

Gym A cost: \( 25x + 150 \); Gym B cost: \( 40x + 75 \)

Step3: Equate costs and solve for \( x \)

\( 25x + 150 = 40x + 75 \)
\( 150 - 75 = 40x - 25x \)
\( 75 = 15x \)
\( x = 5 \)

Answer:

B. 5 months