SOLUTION: Jacob asked you to make 9.2 gal. of fruit punch that contains 40% fruit juice by mixing together some amount of Brand A fruit punch and some amount of Brand B fruit punch. Brand A

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Question 1122086: Jacob asked you to make 9.2 gal. of fruit punch that contains 40% fruit juice by mixing together some amount of Brand A fruit punch and some amount of Brand B fruit punch. Brand A contains 10% fruit juice and Brand B contains 50% fruit juice. How much of each do you need?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of brand A punch
+9.2+-+x+ = gallons of brand B punch
———————-
+.1x+ = gallons of fruit juice in brand A punch
+.5%2A%28+9.2+-+x+%29+ = gallons of fruit juice in brand B punch
———————-
+%28+.1x+%2B+.5%2A%28+9.2+-+x+%29+%29+%2F+9.2+=+.4+
+.1x+%2B+4.6+-+.5x+=+.4%2A9.2+
+-.4x+=+3.68+-+4.6+%7D%0D%0A%7B%7B%7B+-.4x+=+-.92+
+x+=+2.3+
And
+9.2+-+x+=+9.2+-+2.3+
+9.2+-+x+=+6.9+
You need 2.3 gallons of A and 6.9 gallons of B