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

Answer:

The cost when membership have same prices is $ 540.

Step-by-step 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:

⇒ $50+35x=15+37.5x$

⇒  $37.5x-35x+15-50 =0$

⇒ $2.5(x)-35=0$

⇒ $2.5(x)=35$

⇒ $x=\frac{35}{2.5}$

⇒ $x=14$ 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.