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,
⇒ [tex]50+35(x)[/tex] ...Dynamic Gym prices.
⇒ [tex]15+37.50(x)[/tex] ...Cheater Gym prices
⇒ To find the common price we have to equate both the above equation:
⇒ [tex]50+35x=15+37.5x[/tex]
⇒ [tex]37.5x-35x+15-50 =0[/tex]
⇒ [tex]2.5(x)-35=0[/tex]
⇒ [tex]2.5(x)=35[/tex]
⇒ [tex]x=\frac{35}{2.5}[/tex]
⇒ [tex]x=14[/tex] months.
Cost when membership have the same prices:
Plugging x=14 in any of the equation.
⇒ [tex]50+35(x)[/tex]
⇒ [tex]50+35(14)[/tex]
⇒ [tex]50+490[/tex]
⇒ [tex]540[/tex] $
The cost when membership have same prices is $ 540.
