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Samantha wants to join a gym. Gym A: $15 joining fee $35 monthly charge. Gym B: No joining fee $40 monthly charge. Enter the number of months for the total cost of both gyms to be equal.

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samuelonum1

Answer:

3 months

Step-by-step explanation:

Given data

Gym A

$15 joining fee $35 monthly charge

let the number of months be x

and the total charges for x months be y

the expression for the total charges will be given as

y= 15+35x-----------------1

Gym B: No joining fee $40 monthly charge

let the number of months be x

and the total charges for x months be y

the expression for the total charges will be given as

y= 40x-----------------2

Equate 1 and 2

15+35x= 40x

collect like terms

15= 40x-35x

15= 5x

divide both sides by 5

x= 15/5

x= 3

Hence the number of months is 3 months

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