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,
⇒
...Dynamic Gym prices.
⇒
...Cheater Gym prices
⇒ To find the common price we have to equate both the above equation:
⇒

⇒

⇒

⇒

⇒

⇒
months.
Cost when membership have the same prices:
Plugging x=14 in any of the equation.
⇒
⇒
⇒

⇒
$
The cost when membership have same prices is $ 540.