SOLUTION: Oh Nuts! sells cashews for $6.75 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 50-lb mixture that sells for $5.70 per pound?

Question 450548: Oh Nuts! sells cashews for $6.75 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 50-lb mixture that sells for $5.70 per pound?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Oh Nuts! sells cashews for $6.75 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 50-lb mixture that sells for $5.70 per pound?
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Using 2 equations with 2 variables:
Quantity Eq:: c + b = 50
Value Eq::::675c+500b = 570*50
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Multiply thru the 1st equation by 675 to get:
675c + 675c = 675*50
675c + 500c = 570*50
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Subtract and solve for "c":
175c = 105*50
c = 30 lb (# of pounds of cashews needed)
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Solve for "b":
c + b = 50
30 + b = 50
b = 20 lb (# of pounds of Brazil nuts needed)
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Cheers,
Stan H.
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