Answer:
After 4 exercise classes, the monthly cost will be the same at each gym
The cost will be $52
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