Question

Community Gym charges a $60 membership fee and a $70 monthly fee. Workout Gym charges a $170 membership fee and a $60 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answer 1

11 months, $830

Explanation:

`60 + 70x = 170 + 60x`

`70x + 60x = 170 - 60`

`10x = 110`

`x = 11`

`60 + 70x = 60 + 70 * 11`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 60 + 770`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\green{= 830}}`