Question

You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee of $50 plus a monthly fee of $20. Zipity-zapity- zap-that-fat charges $70 to join, but only $10 per month. After how many months do the gyms cost the same? a) Declare your variables:

c) Solve

b) Write a system of equations:​

Answer 1

The number of months when the gyms cost the same is 5 months.

When would the cost be the same?

Total cost of joining the gym = registration fee + (cost per month x number of months)

• Hunkey Heros = $50 + $20m
• Zipity-zapity- zap-that-fat = $70 + $10m

When the gyms costs are the same, the two above equations would be equal to each other:

50 + 20m = 70 + 10m

20m - 10m = 70 - 20

10m = 50

m = 50 / 10

m = 5

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