You are choosing between two health clubs. Club A offers membership for a fee of $23 plus a monthly fee of $20. Club B offers membership for a fee of $11 plus a monthly fee of $24. After how many months will the total cost of each health club be the same? What will be the total cost for each club
To find out after how many months the total cost will be the same for both health clubs, we need to set up an equation and solve for the number of months.
For Club A, the total cost after m months can be represented as:
Total cost for Club A = $23 + ($20 * m)
For Club B, the total cost after m months can be represented as:
Total cost for Club B = $11 + ($24 * m)
To find the number of months when the total costs for both clubs are the same, we set the two equations equal to each other and solve for m:
$23 + ($20 * m) = $11 + ($24 * m)
Now, let's solve for m:
$20m - $24m = $11 - $23
-$4m = -$12
Dividing by -4 on both sides:
m = $12 / $4
m = 3
Therefore, the total cost will be the same for both health clubs after 3 months.
Now, let's calculate the total cost for each club after 3 months:
For Club A:
Total cost for Club A = $23 + ($20 * 3) = $23 + $60 = $83
For Club B:
Total cost for Club B = $11 + ($24 * 3) = $11 + $72 = $83
Therefore, the total cost for both Club A and Club B will be $83 after 3 months.