A gourmet food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7 lb. to sell at $12/lb. How many pounds of each should they use?
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I have no idea what to do. Wow, I feel so dumb :(
2006-12-22 12:27:37 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
and to think I got an A in calculus, but can't even initiate a simple algebra problem. lol......
2006-12-22 12:29:48 · update #1
nuts=$16/lb
fruit= $3/lb
mixture= $12/lb
mixture= x amt nuts + y amt fruit
mixture=16x + 3y
for 1lb 12mixture=16x + 3y
x+y = 1lb
y=1-x
12=16x +3(1-x) 12=16x +3 - 3x
12= 13x+3 9=13x
x=9/13
y= 4/13
now for 7lbs
nuts= 7 * 9/13 lbs= 63/13lbs
fruit= 7* 4/13lbs= 28/13lbs
2006-12-22 15:59:14 · answer #1 · answered by Pocket Rocket 2 · 0⤊ 0⤋
Let x = pounds of nuts, then 7 -x = pounds of fruit.
16x + 3(7 - x) = 7(12)
16x + 21 - 3x = 84
13x = 63
x = 63/13, so there should be 63/13 pounds of nuts.
Then 7 - (63/13) = 28/13 pounds of fruit.
2006-12-22 23:27:53 · answer #2 · answered by jenh42002 7 · 0⤊ 0⤋