### Answers

x + 2y = 30

The system of equations is

Step-by-step 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

-------> equation A

Prodution time needed for painting and assembling each doghouse

-------> equation B

Subtract equation B from equation A

solve for y

5x + 2y = 50

x + 2y = 30

O believe that's the answer

build time= 5x+2y+50

paint/assembly time= x+2y=30

Step-by-step explanation:

The system of equations is :

Equation 1-

Equation 2-

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If 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.

Equation 1-

→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.

Equation 2-

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

Put value of x in equation 2

Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5

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

**Hottest videos**