Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $60 per month. A) In how many months will both gym memberships be the same? B) If Casey plans to only go to the gym for 5 months, which gym would be cheaper?

Question

Cody Shaw

Mathematics

8 December, 03:37

Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $60 per month. A) In how many months will both gym memberships be the same? B) If Casey plans to only go to the gym for 5 months, which gym would be cheaper?

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Answers (1)

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Eric · Answer 1

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

60 * x months = 60x

A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

25x = 150

x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

Plan A will cost 150 + 35*5 = $325

Plan B will cost 60 * 5 = $300

Plan B will be cheaper