SOLUTION: A gourmet food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7lbs to sell at $12/lb. How many pounds of each should they use?

Question 88247: A gourmet food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7lbs to sell at $12/lb. How many pounds of each should they use?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A gourmet food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7lbs to sell at $12/lb. How many pounds of each should they use?
:
Let x = amt of $16/lb nuts required
:
The resulting mixture is given as 7 lbs
Therefore:
(7 - x) = amt of $3/lb fruit
:
A simple equation:
16x + 3(7-x) = 12(7)
16x + 21 - 3x = 84
16x - 3x = 84 - 21
13x = 63
x = 63/13
x = 4.846 lb of nuts required
:
7 - 4.846 = 2.154 lb of fruit required
:
Check solution in original equation:
16(4.846) + 3(2.154) =
77.536 + 6.462 = 83.998 ~ 84

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