Question

7. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?

Answer 1

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

• Let A = membership fee for studio A

• B = membership fee for studio B

• x= membership month

• $A = 22 + 24.5x$

• $B = 47.00 + 18.25x$

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

$A = B$

$22\:+\:24.5x=47.00\:+\:18.25x$

Step 1: Simplify both sides of the equation.

$24.5x+22=18.25x+47$

Step 2: Subtract 18.25x from both sides.

$24.5x+22-18.25x=18.25x+47-18.25x$

$6.25x+22=47$

Step 3: Subtract 22 from both sides.

$6.25x+22-22=47-22$

$6.25x=25$

Step 4: Divide both sides by 6.25

$\frac{6.25x}{6.25}=\frac{25}{6.25}$

$x=4$

Therefore, the total cost for  each health club will be the same after 4 months.