Question

you are choosing between two health clubs. Club a offers membership for a fee of $14 plus a monthly fee of $15. Club e offers membership for a fee of $22 plus a monthly fee of $13. After how many months will the total cost of each Health Club be the same? What will be the total cost for each Club?

Answer 1

You can make an equation by making the two club equal to each other.

15x+14=13x+22            (x for the month which makes it changeable)

This will give you which month the club costs meet each other.

After that just plug the x in one side of the equation and find the total cost.

Answer: 4 months and $74

Answer 2

15x+14=13x+22
-14
15x=13x+8
-13x
2x=8
÷2
x=4
The cost will be the same after 4 months. The cost would be $74 for each club.