Question

One health club charges a $40 membership fee and $40 per month. Another club charges a $100 membership fee and $25 per month. Write and solve an equation to find the number of months that it will take for the two health clubs to be equal

Answer 1

After 4 months, the charges will be same.

Explanation:

Membership charges of club one = $40

Per month charges = $40

Let,

x be the number of months

y be the total amount

y = 40x + 40

Membership charges of club two = $100

Per month charges = $25

y = 25x + 100

For equal charges, both equations will be same

40x + 40 = 25x + 100

40x - 25x = 100 - 40

15x = 60

`(15x)/(15)=(60)/(15)\\x=4`

Therefore,

After 4 months, the charges will be same.