Question 982216: Advance thank you for the one answering these questions:
Q1.Yolanda spent $30.60 for walnuts and pecans. the walnuts cost $2.80 per pound and the pecans cost $3.20 per pound. if she has a total of 10 pounds of nuts, how many pounds of each does she have?
Q2. The Thrifty Coffee Shop blends coffee worth $3.00 per pound with coffee worth $4.25 per pound for a blend worth $3.50. The weight of $4.25 per pound coffee was of the weight of $3.00 per pound coffee. How many pounds of each was used to make a mixture with a total value of $140?
Q3. A trust fund containing $13000 has been established for you. Part of the money is invested at a rate, while the rest is in a stock yielding 5% rate. if you receive $500 a year from the two investments, find the amount invested at each diff. rate.
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! .
Q1:
W=walnuts; P=pecans
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W+P=10 lbs
W=10 lbs-P Use this to substitute for W.
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$2.80W+$3.20P=$30.60 Substitute for W from above.
$2.80(10lbs-p)+$3.20P=$30.60
$28.00-$2.80P+$3.20P=$30.60
$0.40P=$2.60
P=6.5 lbs ANSWER 1: She bought 6.5 ponds of pecans.
W=10lbs-P=10 lbs-6.5 lbs=3.5 lbs
ANSWER 2: She bought 3.5 pounds of walnuts.
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CHECK:
$2.80W+$3.20P=$30.60
$2.80(3.5)+$3.20(6.5)=$30.60
$9.80+$20.80=$30.60
$30.60=$30.60
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