Question 969128: Can you please help me figure out what linear equations I need to make from the following word problem?
Santa's workshop sells 2 kinds of toys, round and square. They also use 2 different kinds of materials, plastic and wood. Each round toy requires 4 units of plastic and 2 units of wood. Each square toy requires 3 units of plastic and 3 units of wood. There are 480 units of plastic and 300 units of wood in total. How many toys can you make.
I already know that x=round toys
y=square toys
The objective equation is P=x+y
Thank you,
Autumn Cunningham
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Santa's workshop sells 2 kinds of toys, round and square. They also use 2 different kinds of materials, plastic and wood. Each round toy requires 4 units of plastic and 2 units of wood. Each square toy requires 3 units of plastic and 3 units of wood. There are 480 units of plastic and 300 units of wood in total. How many toys can you make.
I already know that r = round toys
s = square toys
The objective equation is P =r + s
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r >= 0
s >= 0
Plastic Inequality:: 4r + 3s <= 480
Wood Inequality::::: 2r + 3s <= 300
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Rearrange::
r <= (-3/4)s + 120
r <= (-3/2)s + 150
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Cheers,
Stan H.
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