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7. Veronica is choosing between two health clubs.

After how many months will the total cost for
each health club be the same?

7. Veronica is choosing between two health clubs. After how many months will the total-example-1

1 Answer

3 votes

Answer:

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

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


(6.25x)/(6.25)=(25)/(6.25)


x=4

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

User Kadejiah
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