SOLUTION: You make a new nut mixture by adding 12 pounds of cashews that cost $9.07/lb and 6 pounds of peanuts that cost $8.17/lb. What is the price of your new nut mixture? I got $5.06 as t

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You make a new nut mixture by adding 12 pounds of cashews that cost $9.07/lb and 6 pounds of peanuts that cost $8.17/lb. What is the price of your new nut mixture? I got $5.06 as t      Log On

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Question 823633: You make a new nut mixture by adding 12 pounds of cashews that cost $9.07/lb and 6 pounds of peanuts that cost $8.17/lb. What is the price of your new nut mixture? I got $5.06 as the price of the new nut mixture.
Found 2 solutions by josgarithmetic, TimothyLamb:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
%2812%289.07%29%2B6%288.17%29%29%2F%2812%2B6%29, the dollars per pound of the mixture.

DISCUSSION FOR SOLUTION EXPRESSION
The numerator is the cost for the mixture, and the denominator is the amount of mixture, the sum of the quantities of the nuts. The rational expression shown gives the ratio of DOLLARS to POUNDS for the mixture. THAT is the price for the mixture.

The cost: dollars

The pounds mixture: 12%2Apounds%2B6%2Apounds=18 pounds

PRICE: The cost of the mixture divided by the amount of the mixture, in this case, dollars per pound:
157.86%2F18=8.77 dollars per pound

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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12*9.07 + 6*8.17 = 18p
p = (12*9.07 + 6*8.17)/18
p = $8.77
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