Question

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?

Answer 1

total monthly rental is $4,950. ... Thus, total rental for one bed apartments is x*360 (=360x)

Answer 2

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

Explanation:

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

Given the information:

• The total number of apartments: 12
• rent for one bedroom apartment: $360
• rent 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

Hope it will find you well