SOLUTION: The manager of a specialty food store combined almonds that cost $6.40 per pound with walnuts that
cost $5.90 per pound. How many pounds of each were used to make a 100-pound mixt
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cost $5.90 per pound. How many pounds of each were used to make a 100-pound mixt
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Question 1146450: The manager of a specialty food store combined almonds that cost $6.40 per pound with walnuts that
cost $5.90 per pound. How many pounds of each were used to make a 100-pound mixture that costs
$6.18 per pound? Found 4 solutions by greenestamps, Glaviolette, MathTherapy, richwmiller:Answer by greenestamps(13200) (Show Source):
x pounds at $5.90 per pound, plus (100-x) pounds at $6.40 per pound, equals 100 pounds at $6.18 per pound:
Straightforward; but some ugly calculations....
A faster method, using only a couple of simple calculations, based on where the $6.18 per pound cost of the mixture lies between $5.90 and $6.40....
(1) On a number line, look at where the 6.18 lies between 5.90 and 6.40. 5.90 to 6.40 is a difference of 0.50; 5.90 to 6.18 is a difference of 0.28. 0.28/0.50 = 28/50 = 56/100.
(2) Therefore 56/100 of the mixture should be the higher priced walnuts.
ANSWER: 56 pounds of the walnuts; 100-56 = 44 pounds of the almonds.
You can put this solution on YOUR website! The manager of a specialty food store combined almonds that cost $6.40 per pound with walnuts that
cost $5.90 per pound. How many pounds of each were used to make a 100-pound mixture that costs
$6.18 per pound?
You can put this solution on YOUR website! Giving the answer with no work is worse than having the wrong answer while showing the work.
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