SOLUTION: D’Andre wants 14 L of fruit punch that is 10% juice. At the store, he finds only punch that is 15% juice or punch that is 8% juice. How much of each should he purchase? I've tri

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Question 633450: D’Andre wants 14 L of fruit punch that is 10% juice. At the store, he finds only punch that is 15% juice or punch that is 8% juice. How much of each should he purchase?
I've tried it a couple different ways , but when I recheck it, the numbers don't add up. I'm taking intermediate algebra online and it has been 20 years since I had it. Please help.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the amount of 15% juice

   juice = juice

 .15x ++ .08(14-x) = .10*14L

        .07x = .02*14L

           x = .02*14L/.07

           x = 4L, amt of 15%.  Will take 10L of the 8%

and...

  +.6+%2B+.8+=+1.4   Note: 1.4L being the amount of actual juice



Note if Decimals bother You, may multply thru by 100 first, if You like:

    15x + 8(14-x) = 140

           7x =  28, x = 4