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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?

User Greenify
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1 Answer

3 votes

Answer:

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.

User Ntholi
by
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