Question 271094
One night the manager of the Sea Breeze Motel rented
5 singles and 12 doubles for a total of $390. The next night
he rented 9 singles and 10 doubles for a total of $412.
What is the rental charge for each type of room?
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Equations:
5s + 12d = 390
9s + 10d = 412
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Multiply 1st by 9 ; Multiply 2nd by 5
45s + 108d = 9*390
45s + 50d = 5*412
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Subtract the 2nd from the 1st and solve for "d":
58d = 1450
d = $25 (rental rate on doubles)
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Substitute into 5s + 12d = 390 to solve for "s":
5s + 12(25) = 390
5s = 90
s = $18 (rental rate on singles)
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Cheers,
Stan H.