4) Get Fit Headquarters charges $40 per month and $3 per exercise class. Fit Planet charges $20 per month and $8 per exercise class. After how many exercise classes
will the monthly cost be the same at each gym? What will that cost be?

After 4 exercise classes, the monthly cost will be the same at each gym

The cost will be $52

Step-by-step explanation:

Assume that the number of the exercise classes is x

∵ Get Fit Headquarters charges $40 per month and $3 per exercise class

∵ The number of the exercise classes is x

→ Add $40 to the product of x and $3 to get the monthly cost

∴ The monthly cost of Get Fit = 3x + 40

∵ Fit Planet charges $20 per month and $8 per exercise class

∵ The number of the exercise classes is x

→ Add $20 to the product of x and $8 to get the monthly cost

∴ The monthly cost of Fit Planet = 8x + 20

∵ They have the same monthly cost

→ Equate their monthly cost to find x

∴ 8x + 20 = 3x + 40

→ Subtract 3x from both sides

∵ 8x - 3x + 20 = 3x - 3x + 40

∴ 5x + 20 = 40

→ Subtract 20 from both sides

∵ 5x + 20 - 20 = 40 - 20

∴ 5x = 20

→ Divide both sides by 5

∴ x = 4

∵ x is the number of the exercise classes

∴ After 4 exercise classes the monthly cost will be the same at each gym

→ Substitute the value of x in one of the monthly cost to get it

∵ The monthly cost of the Get Fit = 3(4) + 40

∴ The monthly cost of the Get Fit = 12  +40

∴ The monthly cost of the Get Fit = 52

∴ The cost will be $52