Question 953265
How many pounds of nuts selling for $6 per lb and raisins selling for $3 per lb should a person combine to obtain 90lb of trail mix selling for $4 per lb?
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Quantity:: n + r = 90 lbs
Value:::: 6n +3r = 4*90 dollars
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Modify for elimination::
3n + 3r = 3*90
6n + 3r = 4*90
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Subtract and solve for "n":
3n = 90
n = 30 lbs (wt. of $6 nuts needed)
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Solve for "r"::
r = 90-n
r = 60 lbs (wt. of $3 raisins needed)
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Cheers,
Stan H.
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