Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga Studio A: Membership: $24.00 Monthly Fee: 21.50. Yoga Studio B: Membership: $41.00 Monthly Fee: $17.25

Question

Spud

Mathematics

11 July, 16:18

Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga Studio A: Membership: $24.00 Monthly Fee: 21.50. Yoga Studio B: Membership: $41.00 Monthly Fee: $17.25

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Answers (1)

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Li · Answer 1

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let x equal the number of months of membership, and y equal the total cost.

Club A's is y = 24x + 21.50 and Club B's is y = 17.25 x + 41.00 Because we know that the prices, y, would be equal, we can set the two equations equal to each other.

24x + 21.50 = 17.25 x + 41.00

subtract 21.50 both sides

. We can now solve for x by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.