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Gym A charges a registration fee of $74 plus $33 per month for members. Gym B charges a registration fee of $164 plus $18 per month for members. After how many months would the total cost at Gym A and Gym B be the same for members?​

Gym A charges a registration fee of $74 plus $33 per month for members. Gym B charges a registration fee of $164 plus $18 per month for members. After how many class=

Answer :

elcharly64

Answer:

The total charge at Gym A and Gym B would be the same at 6 months

Step-by-step explanation:

The model for the charges of both Gyms is made of the registration fee plus a variable quantity per month.

Let's call m the number of months for members.

Gym A charges $74 plus $33 per month, thus:

[tex]C_a=74+33m[/tex]

Gym B charges $164 plus $18 per month, thus:

[tex]C_b=164+18m[/tex]

We want to find out the number of months needed for both charges to be the same, thus:

[tex]74+33m=164+18m[/tex]

Subtracting 74 and 18m:

[tex]33m-18m=164-74[/tex]

Simplifying:

[tex]15m=90[/tex]

Dividing by 15:

[tex]m=90/15=6[/tex]

m=6

The total charge at Gym A and Gym B would be the same at 6 months

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