Question

Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses. It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Write a system of equation that represents the production Time needed to build each dog house and the production Time needed for paining and assembling each dog house. Use X to represent the number of vinyl dog houses and y to represent the number of treated lumber dog houses.(just need the answer

Build time:
Paint/Assembly time:

Answer 1

build time= 5x+2y+50

paint/assembly time= x+2y=30

Explanation:

Answer 2

Given:

5 hours to build 1 vinyl doghouse
2 hours to build 1 lumber doghouse
1 hour to paint 1 vinyl doghouse
2 hours to assemble 1 lumber doghouse

Company hours = 50 hours/week
For assembly and painting = 30 hours/week

Let x = number of vinyl dog houses
y = number of lumber dog houses

Build time = 5x
Build time = 2y
Paint time = x
Assembly time = 2y

Total time = 6x
= 4y