Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

An employee at a construction company is ordering interior doors for some new houses that are being built. There are 3 one-story houses and 6 two-story houses on the west side of the street, which require a total of 93 doors. On the east side, there are 8 one-story houses and 2 two-story houses, which require a total of 94 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?

Each one-story house has___ doors, and each two-story house has___ doors.

Guest Jan 26, 2021

#1**+1 **

An employee at a construction company is ordering interior doors for some new houses that are being built. There are 3 one-story houses and 6 two-story houses on the west side of the street, which require a total of 93 doors. On the east side, there are 8 one-story houses and 2 two-story houses, which require a total of 94 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?

Call the number of doors on the one story house = O

Call the number of doors on the two story house = T

So

3O + 6T = 93 dividie this trough by 3 ⇒ O + 2T = 31 (1)

8O + 2T = 94 (2)

Subtract (1) from (2) and we get that

7O = 63

O = 63/7 = 9 doors on the one story house

And using (1)

9 + 2T = 31

2T =31 - 9

2T =22

T =22/2 = 11 doors on the two story house

CPhill Jan 26, 2021