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Zinaida [17]
3 years ago
9

universal pet house sells vinyl doghouses and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouse a

nd 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.
Mathematics
2 answers:
AnnZ [28]3 years ago
7 0

Answer:

The system of equations is

5x+2y=50

x+2y=30

Step-by-step explanation:

Let

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

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

we know that

<u>Production time needed to build each doghouse</u>

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

<u>Prodution time needed for painting and assembling each doghouse</u>

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

I am Lyosha [343]3 years ago
6 0
5x + 2y = 50



x + 2y = 30
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