you are choosing between two health clubs. club A offers membership for a fee of $7 plus a monthly fee of $20. club B offers membership for a fee of $35 plus a monthly fee of $13. After how man months will the total cost of each health club be the same
To find the number of months when the total cost of each health club is the same, we need to set up an equation and solve for the variable.
Let's assume the total cost after "x" months for Club A is A and for Club B is B.
For Club A, the total cost after "x" months can be written as A = 7 + 20x.
For Club B, the total cost after "x" months can be written as B = 35 + 13x.
We want to find the value of "x" when A is equal to B, so we set up the equation:
7 + 20x = 35 + 13x
To solve for "x", we subtract 7 from both sides of the equation:
20x = 35 + 13x - 7
20x = 28 + 13x
Subtract 13x from both sides:
7x = 28
Finally, divide both sides by 7 to isolate "x":
x = 28/7
x = 4
Therefore, after 4 months, the total cost of each health club will be the same.