A ski rental store rents a pair of skis for $44 a day and a snowboard for $58 a day. Yesterday, the store made $2,232 on ski and snowboard rentals. They rented 9 more pairs of skis than snowboards. Write a system of equations that could be used to represent this situation and to find the number of ski rentals and snowboard rentals.

Question

Watson

Mathematics

6 April, 03:10

A ski rental store rents a pair of skis for $44 a day and a snowboard for $58 a day. Yesterday, the store made $2,232 on ski and snowboard rentals. They rented 9 more pairs of skis than snowboards. Write a system of equations that could be used to represent this situation and to find the number of ski rentals and snowboard rentals.

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Selena Dudley · Answer 1

First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.

44x + 58y = 2232

The second equation can come from the fact that 9 more skis were rented than snowboards.

y = x - 9

Therefore our system is:

44x + 58y = 2232

y = x - 9