SOLUTION: A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.30 per pound. How many pounds of each should he us
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Question 958086: A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.30 per pound. How many pounds of each should he use?
You can put this solution on YOUR website! J=jelly beans; P=peanuts
P+J=30 lbs
P=30lbs-J
$3.00P+$1.50J=$2.30(30lbs) Substitute for P.
$3.00(30lbs-J)+$1.50J=$69
$90-$3.00J+$1.50=$69 Subtract $90 from each side.
-$1.50J=-$21 Divide each side by $1.50
J=14 ANSWER 1: He should use 14 pounds of jelly beans.
P=30lbs-J=30-14=16 lbs ANSWER 2: He should use 16 pounds of peanuts.
CHECK:
$3.00P+$1.50J=$2.30(30lbs)
$3.00(16)+$1.50(14)=$2.30(30lbs)
$48+$21=$69
$69=$69
