Question 133374: a birdseed mix that costs $2.45 per poud is mixed with a birdseed mix that costs $2.30 per pound. How much of each type of birdseed mix must be used to have 30 pounds of a birdseed mix that costs $2.35 per pound?
Algebra 1, systems of linear equations
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a birdseed mix that costs $2.45 per pound is mixed with a birdseed mix that costs $2.30 per pound. How much of each type of birdseed mix must be used to have 30 pounds of a birdseed mix that costs $2.35 per pound?
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$2.45 seed DATA:
Amt. = x lbs. ; Value = 2.45x dollars
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$2.30 seed DATA:
Amt = 30-x lbs ; Value = 2.3(30-x) = 69-2.3x dollars
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Mixture DATA:
Amt. = 30 lbs. Value = 2.35*30 = 70.5 dollars
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EQUATION:
value + value = value
2.45x + 69-2.3x = 70.5
0.15x = 1.5
x = 10 lbs (Amount of $2.45 seed in the mixture)
30-x = 20 lbs (Amount of $2.30 seed in the mixture)
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Cheers,
Stan H.
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