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Dwight gym for muscles is having two different specials. Patrons can join the gym at a cost of $108 plus $20 per month(m) or patrons could choose to not pay a joining fee but pay $29 a month. How many months would you have to be a member of the club in order for the two plans to cost the same?

Respuesta :

Answer:close to 6 months

Step-by-step explanation:

The number of months when there'll be equal payment is 12 months.

Let the number of months when there'll be the same amount be represented by m.

Since the patrons can join the gym at a cost of $108 plus $20 per month, Thai will be: = 108 + 20m

On the other hand, when the patron doesn't want to pay a joining fee, the amount per month will be:

= 29 × m = 29m

Equating both equations will be:

108 + 20m = 29m

Collect like terms

29m - 20m = 108

9m = 108

m = 108/9

m = 12

Therefore, the number of months when there'll be equal payment is 12 months.

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