SOLUTION: How many pounds of peanuts that sell for $1.8 per pound should be mixed with cashews that sell for $4.5 per pound so that a 10-lb mixture is obtained that will sell for $2.61 per p

Question 1103887: How many pounds of peanuts that sell for $1.8 per pound should be mixed with cashews that sell for $4.5 per pound so that a 10-lb mixture is obtained that will sell for $2.61 per pound?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
x pound peanuts at price L
y pounds of cashews at price H
M pounds of mixture, peanuts and cashews
T the price per pound for the mixture

M=10
T=2.61
L=1.8
H=4.5

The system is two linear equations in the unknowns x and y.
Solve for x and y.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How many pounds of peanuts that sell for $1.8 per pound should be mixed with cashews that sell for $4.5 per pound so that a 10-lb mixture is obtained that will sell for $2.61 per pound?
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I saw a method by tutor GreeneStamps in Problem 1103821 that I didn't know:
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1.8 1.89 2.61 4.5 0.81

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The left column is the 2 prices given.
The center number is the cost of the mix.
The right column is the difference between the left column and the cost ($2.61)
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Find the ratio of the 2 numbers in the right column --> 7:3
--> 7 pounds of $1.80 peanuts to 3 pounds of $4.50 cashews.
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7 pounds of peanuts & 3 pounds of cashews.

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