SOLUTION: A trash removal company carries waste material in sealed containers weighing 4 kilograms and 3 kilograms. On a certain trip the company carries 30 containers weighing a total of 1

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Question 450440: A trash removal company carries waste material in sealed containers weighing 4 kilograms and 3
kilograms. On a certain trip the company carries 30 containers weighing a total of 100 kilograms.
How many of each type of container are there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A trash removal company carries waste material in sealed containers weighing 4 kilograms and 3 kilograms.
On a certain trip the company carries 30 containers weighing a total of 100 kilograms.
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Equations:
Quantity Equation: f + t = 30
Weight Equation:: 4f +3t = 100
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How many of each type of container are there?
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Multiply thru the Quantity Equation by 4 to get:
4f + 4t = 4*30
4f + 3t = 100
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Subtract and solve for "t":
t = 20 (# of 3 kilogram containers)
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Solve for "f":
f + t = 30
f + 20 = 30
f = 10 (# of 4 kilogram containers)
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Cheers,
Stan H.
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