You are choosing from two health clubs. Club A offers membership for a fee os $7 plus a monthly fee of $20. Club B offers membership for a fee of $35 plus a monthly fee of $13. After how many months with the total cost of each health club be the same?
Let's denote the number of months as x.
For Club A, the total cost after x months would be:
Membership fee: $7
Monthly fee: $20x
So the total cost for Club A after x months is: 7 + 20x
For Club B, the total cost after x months would be:
Membership fee: $35
Monthly fee: $13x
So the total cost for Club B after x months is: 35 + 13x
To find the number of months when the total cost is the same for both clubs, we need to set the expressions for the total cost equal to each other and solve for x:
7 + 20x = 35 + 13x
Rearranging the equation:
20x - 13x = 35 - 7
7x = 28
x = 28/7
x = 4
Therefore, the total cost of each health club will be the same after 4 months.