Community Gym charges a $70 membership fee and a $55 monthly fee. Workout Gym charges a $170 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

10 months and the amount is $620

Months: 10

Amount: $620

Step-by-step explanation:

CG=Community Gym

CW=Workout Gym

A membership fee would be a one-time cost so you start by adding the membership cost.

CG:  +70

CW:  +170

A monthly fee would be a continuing cost so you multiply the fee by the number of months. If you don't know the number of months then you put a variable next to the cost of the continuing charge. Think of it as the number multiplied by the variable like this example (5*x+3). A variable can be any letter, it is m here to remind you that we're trying to figure out months.

CG:  55m+70

CW:  45m+170

Once you have your continuing fee and the one-time fee you substitute the variable for a number until you get the right number. The number that you substitute for the variable is the number of months.

CG:  

(55*1)+70=125

(55*2)+70=180

(55*3)+70=235

(55*4)+70=290

(55*5)+70=345

(55*10)+70=620

CW:  

(45*1)+170=215

(45*2)+170=260

(45*3)+170=305

(45*4)+170=380

(45*5)+170=395

(45*10)+170=620

Hope this was helpful, Sorry if I missed anything

5050

hope this !