An apartment building contains 12 units consisting of one-and-two-bedroom apartments that rent for $1360 and $1450 per month, respectively. When all units are rented, the total monthly income is $49,500. What is the number of two-bedroom apartments?

Question

Elisa Finley

Mathematics

31 March, 21:05

An apartment building contains 12 units consisting of one-and-two-bedroom apartments that rent for $1360 and $1450 per month, respectively. When all units are rented, the total monthly income is $49,500. What is the number of two-bedroom apartments?

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Answers (1)

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Micaela Stein · Answer 1

X: number of one-bedroom apartments

y: number two bedroom apartments

x + y = 12

1360x + 1450y = 49,500

x = 12 - y

1360[12 - y] + 1450y = 49500

16320 - 1360y + 1450y = 49500

90y = 33180

y = 33180/90

y = 368.7

As per my understanding, It is weird that the result is not an integer number. I think that either the information is wrong or the person who created the problem didn't realize this result.