Question

Jada and her friends want to go indoor skating on Saturday night. Jacaranda Skating Zone charges $40 for entry and $12 per hour to skate, while Wiles Skating Zone charges $10 for entry and $22 per hour to skate. At how many hours would it be the same cost at either skating zones?

Answer 1

At 3 hours both Jacaranda and Wiles would have the same cost

Let y represent the total charges by Jacaranda and x represent the number of hours. Hence:

y = 12x + 40

Let z represent the total charges by wiles and x represent the number of hours. Hence:

z = 22x + 10

Since they are to have the same cost, hence:

y = z

12x + 40 = 22x + 10

10x = 30

x = 3 hours

Therefore at 3 hours both Jacaranda and Wiles would have the same cost.

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