Question

Richard wants to join a gym. Dynamic Gym has a membership fee of $50 and costs $35 each month. Cheater Fitness has a membership fee of $15 and costs $37.50 each month. What is the cost when the memberships have the same price?

Answer 1

The cost when membership have same prices is $ 540.

Explanation:

Given:

Two Gym where Richard wants to join the prices are mentioned below.

Dynamic Gym:

Membership fee = $ 50

Monthly charges = $ 35

Cheater Fitness:

Membership fee = $15

Monthly charges = $ 37.50

We have to find the cost when it will have the same price.

Let the number of months be "x".

So,

⇒
`50+35(x)` ...Dynamic Gym prices.

⇒
`15+37.50(x)` ...Cheater Gym prices

⇒ To find the common price we have to equate both the above equation:

⇒
`50+35x=15+37.5x`

⇒
`37.5x-35x+15-50 =0`

⇒
`2.5(x)-35=0`

⇒
`2.5(x)=35`

⇒
`x=(35)/(2.5)`

⇒
`x=14` months.

Cost when membership have the same prices:

Plugging x=14 in any of the equation.

⇒
`50+35(x)`

⇒
`50+35(14)`

⇒
`50+490`

⇒
`540` $

The cost when membership have same prices is $ 540.