SOLUTION: You have one type of nut that sells for $5.80/lb and another type of nut that sells for $9.00/lb. You would like to have 12.8 lbs of a nut mixture that sells for $6.10/lb. How much

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Question 1124642: You have one type of nut that sells for $5.80/lb and another type of nut that sells for $9.00/lb. You would like to have 12.8 lbs of a nut mixture that sells for $6.10/lb. How much of each nut will you need to obtain the desired mixture?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, amount of the cheaper nut
12.8-x, amount of the expensive nut

%285.8x%2B9%2812.8-x%29%29%2F12.8=6.1
-
5.8x%2B9%2812.8-x%29=6.1%2A12.8
5.8x%2B9%2A12.8-9x=6.1%2A12.8
-3.2x=6.1%2A12.8-9%2A12.8
3.2x=37.12
highlight%28x=11.6%29------of the 5.8 dollar per pound nut
highlight%281.2%29-------of the 9 dollar per pound nut


check:
5.8%2A11.6%2B9%2A1.2,78.08
-
12.8%2A6.1=78.08
yes