you are choosing between two health clubs. club a offers membership for a fee of $7 plus a monthly fee of $27. club b offers membership for a fee of $35 plus a monthly fee of $20. after how man months will the total cost of each health club be the same
Let's represent the total cost after "x" months for each health club as follows:
Club A: Total cost = (Membership fee) + (Monthly fee × Number of months)
Club A: Total cost = $7 + $27x
Club B: Total cost = (Membership fee) + (Monthly fee × Number of months)
Club B: Total cost = $35 + $20x
To find when the total costs will be the same, we set the two expressions equal to each other:
$7 + $27x = $35 + $20x
Next, we will solve for "x" by isolating the variable:
$27x - $20x = $35 - $7
$7x = $28
x = $28 / $7
x = 4
Therefore, the total cost of each health club will be the same after 4 months.