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July 8th, 2018, 05:06 PM   #1
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Mixture problems

ok i am struggling with this mixture problem and cant figure it out via my book/notes/interwebs so im turning to you guys for help

Dried bananas sell for \$0.80 per pound. Dried apricots sell for \$1.00 per pound. How many pounds of apricots should be mixed with 10 pounds of bananas to get a mixture that sells for \$.95 per pound?

Last edited by greg1313; July 8th, 2018 at 05:22 PM.
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July 8th, 2018, 05:48 PM   #2
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$$\frac{\text{cost of mixture}}{\text{weight of mixture}}=\text{price per pound}$$

Let $x$ be the number of pounds of apricots needed. Then,

$$\frac{8+x}{10+x}=0.95$$

Make sense? If so, can you finish?
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July 8th, 2018, 08:30 PM   #3
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As Greg says:
Code:
   10  @   .80
   x    @ 1.00
---------------
x+10 @  .95
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