SOLUTION: A grocer wants to make a ten pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost 4.00 dollars per pound and cashews cost 6.50 dollars per po

Question 984670: A grocer wants to make a ten pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost 4.00 dollars per pound and cashews cost 6.50 dollars per pound, how many pounds of each should he use?
How do I figure out the system of equations needed to solve this problem?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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P=pounds of peanuts; C=pounds of cashews
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P+C=10 pounds
P=10-C Use this to substitute for P below.
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$4.00P+$6.50C=($4.75/lb)(10 lbs) Substitute for P from above.
$4.00(10-C)+$6.50C=$47.50
$40.00-$4.00C+$6.50C=$47.50
$2.50C=$7.50
C=3 ANSWER 1: he should use 3 pounds of cashews.
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P=10-C=10-3=7 ANSWER 2: He should use 7 pounds of peanuts.
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CHECK:
$4.00P+$6.50C=($4.75/lb)(10 lbs)
$4.00(7)+$6.50(3)=$47.50
$28.00+$19.50=$47.50
$47.50=&47.50

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