SkateWorld charges $10.00 for admission plus $2.50 per hour to rent ice skates. IceLand charges $7.00 for admission plus $4.00 per hour to rent ice skates. Write an equation to find h, the number of hours for which the total cost is the same at both skating rinks. Then solve the equation and state what the cost is for that number of hours

Question

Nathen Powell

Mathematics

2 April, 00:18

SkateWorld charges $10.00 for admission plus $2.50 per hour to rent ice skates. IceLand charges $7.00 for admission plus $4.00 per hour to rent ice skates. Write an equation to find h, the number of hours for which the total cost is the same at both skating rinks. Then solve the equation and state what the cost is for that number of hours

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Answers (1)

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Kayden Atkins · Answer 1

10+2.5h=7+4h, h=2

Step-by-step explanation:

If you want to find where the costs would be the same, you must set the 2 sides to be equal to each other. SkateWorld has a flat fee of $10 and $2.5 for every hour, while IceLand has a flat fee of $7 and $4 per hour. The equation would look like 10+2.5h=7+4h, where h is the number of hours renting ice skates. After isolating h we get 3=1.5h, then we divide each side by 1.5 and end with 2=h.