SOLUTION: A grocer mixes peanuts that cost $1.43 per pound and walnuts that cost $2.63 per pound to make 100 pounds of a mixture that costs $2.39 per pound. How much of each kind of nut is p
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Question 987741: A grocer mixes peanuts that cost $1.43 per pound and walnuts that cost $2.63 per pound to make 100 pounds of a mixture that costs $2.39 per pound. How much of each kind of nut is put into the mixture? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
P=pounds of peanuts; W=pounds of walnuts
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P+W=100lbs
W=100lbs-P
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($1.43/lb)P+($2.63/lb)W=$2.39/lb(100lbs)
($1.43/lb)P+($2.63/lb)(100lbs-P)=$239
($1.43/lb)P+$263-($2.63/lb)P=$239
(-$1.20/lb)P=-$24
P=20
ANSWER 1: There were 20 pounds of peanuts in the mixture.
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W=100 pounds-P=100 pounds-20 pounds=80 pounds
ANSWER 2: There were 80 pounds of walnuts in the mixture.
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($1.43/lb)P+($2.63/lb)W=$2.39/lb(100lbs)
($1.43/lb)(20lbs)+($2.63/lb)(80lbs)=$2.39/lb(100lbs)
$28.60+$210.40=$239
$239=$239
