John mixed together 9 liters of Brand A fruit drink which contains 14% fruit juice and 8 gallons of Brand B fruit drink which contains 48% fruit juice. What is the percent of fruit juice in the resulting mixture?
We have
9 * 14% + 8 * 48% = (9 + 8) * x% simplify
9 * .14 + 8 * .48 = 17 * (x/100)
1.26 + 3.84 = 17x / 100 multiply both sides by 100
126 + 384 = 17x
510 = 17x divide both sides by 17
30 = x
So....the resulting mixture is 30% fruit juice
