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Anuta_ua [19.1K]
2 years ago
10

7. Veronica is choosing between two health clubs.

Mathematics
1 answer:
vesna_86 [32]2 years ago
8 0

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.

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