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universal pet house sells vinyl doghouses and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouse and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards building doghouses. It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each lumber doghouse. The company dedicates 30 hours every week towards assembling and painting doghouses. Write a system of equations that represent the production time needed to build each doghouse and the prodution time needed for painting and assembling each doghouse. Use x to represent the number of vinyl doghouses and y to represent the number of treated lumber doghouses.

2 Answers

4 votes
5x + 2y = 50



x + 2y = 30
User Eric Urban
by
6.0k points
3 votes

Answer:

The system of equations is


5x+2y=50


x+2y=30

Explanation:

Let

x------> the number of vinyl doghouses

y-----> the number of treated lumber doghouses

we know that

Production time needed to build each doghouse


5x+2y=50 -------> equation A

Prodution time needed for painting and assembling each doghouse


x+2y=30 -------> equation B

Subtract equation B from equation A


5x+2y-(x+2y)=50-30


4x=20


x=5\ vinyl\ doghouses

solve for y


5+2y=30


2y=30-5


y=12.5\ treated\ lumber\ doghouses

User Woany
by
7.0k points