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Answer:
The no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.
Step-by-step explanation:
Let x be the no. of traditional type birdhouses
The more traditional type takes 4 pieces of wood and 2 hours to build.
One house requires wood = 4
x houses requires wood = 4x
One house requires time = 2 hours
x houses requires time = 2x
Let y be the no. of lavish type birdhouses
The more lavish type takes 10 pieces of wood and 7 hours to build.
One house requires wood = 10
y houses requires wood = 10y
One house requires time = 7 hours
y houses requires time = 7y
Now we are given that he has a total of 46 pieces of wood and 29 hours to work,
So, equations becomes :
Plot these equations on graph
---Blue line
---Green line
Refer the attached figure
The intersection point provides the solution
Intersection point : (4,3)
So, x = 4 and y = 3
Hence the no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.
