SOLUTION: The modern grocery has cashews that sell for $4.50 a pound and peanuts that sell for $2.50 a pound. How much of each must the grocer mix to get 80 pounds of mixture that he can sel

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Question 977024: The modern grocery has cashews that sell for $4.50 a pound and peanuts that sell for $2.50 a pound. How much of each must the grocer mix to get 80 pounds of mixture that he can sell for $3.00 per pound. Write a system of linear equations and solve.
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The modern grocery has cashews that sell for $4.50 a pound and peanuts that sell for $2.50 a pound. How much of each must the grocer mix to get 80 pounds of mixture that he can sell for $3.00 per pound. Write a system of linear equations and solve.
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let x= amt of cashews to mix
let y=amount of peanuts to mix
x+y=80
y=80-x
..
4.50x+2.50y=3.00*80
4.50x+2.50(80-x)=3.00*80
4.50x+200-2.50x=240
2.00x=40
x=20
80-x=60
amt of cashews to mix=20 lbs
amount of peanuts to mix=60 lbs