SOLUTION: A health food manager mixes 8 ounces of lentils that cost 70 cents per pound with white beans that cost $1.10 per pound to make a soup mix.How many ounces of white beans should be

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Question 222208: A health food manager mixes 8 ounces of lentils that cost 70 cents per pound with white beans that cost $1.10 per pound to make a soup mix.How many ounces of white beans should be used to produce a mixture that is worth 85 cents per pound?i need help setting up and equation for it
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A health food manager mixes 8 ounces of lentils that cost 70 cents per pound with white beans that cost $1.10 per pound to make a soup mix.How many ounces of white beans should be used to produce a mixture that is worth 85 cents per pound?i need help setting up an equation for it.
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Equation:
value + value = value
70(1/2) + 110x = 85(x+(1/2))
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35 + 110x = 85x + 42.5
25x = 7.5
x = 0.3 lbs. (amount of $1.10 beans neede in the mixture)
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = ounces of white beans needed
16 oz = 1 lb
x%2F16 = pounds of white beans needed
given:
8 oz of lintels = 1%2F2 pound lintels
%281%2F2%29%2A70+=+35 cents for lintels
and
%28x%2F16%29%2A110+=+6.875x cents for white beans
finally,
35+%2B+6.875x+=+85%2A%28x%2F16+%2B+1%2F2%29
Multiply both sides by 16
35%2A16+%2B+6.875%2A16x+=+85x+%2B+85%2A8
560+%2B+110x+=+85x+%2B+680
25x+=+120
x+=+4.8
4.8 oz of white beans are needed
check:
35+%2B+6.875x+=+85%2A%28x%2F16+%2B+1%2F2%29
35+%2B+6.875%2A4.8+=+85%2A%284.8%2F16+%2B+1%2F2%29
35+%2B+33+=+85%2A%28.3+%2B+.5%29
68+=+.8%2A85
68+=+68
OK