Question

Write a system of equations to describe the following scenario:

x = the number of apartment buildings
y = the number of individual homes
Apartment buildings average 28 people and individual homes average 4 people. The total number of people that need to live on the block is 116. The total number of buildings on the lot is 5. What system of equations would help you determine how many of each home type to build?

Answer 1

28x+4y=116

x+y=5

Explanation:

28(apartments)+4(houses)=116 total

(amt of apartments)+(amt of houses)=5 total