An apartment building contains 12 units consisting ot one and two bedroom apartments that rent for $360 and $450 per month, respectively. when all the units are rented the total monthly rental is $4,950. what is the number of two bedroom apartments?

the number of 1 bed-room apartment: 5 the number of 2 bed-room apartment: 7

Step-by-step explanation:

Let x is the number of 1 bed-room apartmentLet y is the number of 2 bed-room apartment

Given the information:

The total number of  apartments: 12 rent for one bedroom apartment: $360rent for two bedroom apartment: $450 total monthly rental is $4,950

Hence, we can form two equations:

x + y =12 <=> x = 12-y (1)

360x + 450y = 4950 (2)

Let substitute (1) into (2), we have:

360(12-y) + 450y = 4950

<=> 4320 - 360y + 450y = 4950

<=> 90y = 630

<=> y = 7

=> x = 12-7 = 5

So, we have:

the number of 1 bed-room apartment: 5 the number of 2 bed-room apartment: 7

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