Club a charge $11 for membership and $11 monthly. club b charge $27 membership and $7 monthly. after how many many months will they charge the same? how much for each?

Let be the number of months. Since Club A charges $11 only one time and charges $11 per month, the total charge after months is . Similarly, the total charge after months for Club B is .

Since we want to find after how many months the two clubs charge the same amount, we can set those two expressions equal to each other and solve:





So, Club A and Club B will charge the same amount after 4 months. To find how much they charge, just plug back into one of the original equations: