Question

annalisa can rent a bike from one store for $22.25 per hour with no additional charge for a helmet. at another store, the bike rental fee is $21.00 per hour, and there is flat fee of $9.00 for the helmet. if annalisa would pay the same amount at the either store to rent a bike and helmet, for how many hours is the rental?

Answer 1

7.2 hours

Explanation:

You want the number of rental hours that will result in the same charge if one store rents for $22.25 per hour, and the other store rents for $21.00 per hour with an added $9 charge.

Cost

The cost for h hours at the first store is ...

cost = 22.25h

The cost for h hours at the second store is ...

cost = 21.00h +9.00

The costs are the same when ...

22.25h = 21.00h +9.00

1.25h = 9.00 . . . . . . . . . . . . . subtract 21h

h = 9.00/1.25 = 7.20 . . . . . . . divide by 1.25

Annalisa will spend the same at each store for a rental of 7.2 hours.

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Additional comment

The cost at either place for a 7.2 hour rental is $160.20.

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