Question

Casey


Wants to buy a gym membership. One gym has 150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. In how many months will both gym memberships cost the same? What will that cost be?

Answer 1

Answer: After 6 months the cost of both gym memberships will be same.

The cost after 6 months =$ 360

Step-by-step explanation:

Let x be the number of months

Given : One gym has 150 joining fee and costs $35 per month.

Total cost of gym memberships= joining fee+ (cost per month) x (Number of months)

Then the total cost ( in dollars) of first gym memberships after x months = 150+35x

Another gym has no joining fee and costs $60 per month.

Then, the total cost ( in dollars) of second gym memberships after x months =60x   (1)

When both gym memberships cost the same , we have the following equation :

$150+35x=60x$

Subtract 35 x from both sides

$25x=150$

Divide both sides by 25

$x=6$

Hence, after 6 months the cost of both gym memberships will be same.

The cost after 6 months = 60 (6)=$ 360    [Substitute in (1)]

Thus , the cost will be $ 360