SOLUTION: Emily mixed together 9 gallons of Brand A fruit drink and 8 gallons of Brand B fruit drink which contains 48% fruit juice. Find the percent of fruit juice in Brand A if the mixture

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Question 729500: Emily mixed together 9 gallons of Brand A fruit drink and 8 gallons of Brand B fruit drink which contains 48% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 30% fruit juice?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = percent of fruit juice in 9 gallons of brand A
There are +9+%2B+8+=+17+ gallons of total mixture
There is +.3%2A17+=+5.1+ gallons of fruit juice in the total mixture
+x%2A9+%2B+.48%2A8+=+5.1+
+9x+=+5.1+-+3.84+
+9x+=+1.26+
+x+=+.14+
There is 14% fruit juice in 9 gallons of brand A
check:
+%28+.14%2A9+%2B+.48%2A8+%29+%2F+17+=+.3+
+1.26+%2B+3.84+=+.3%2A17+
+5.1+=+5.1+
OK