Confusing... To create a breakfast beverage, pineapple juice in two concentrations, 16% and 30%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 50ml gallon of 16% juice is used, how many gallons of the 30% juice must be used to obtain a 20% pineapple juice solution?

Question

anonymous · Answer

.20(x+)=.16(50)+0(x) I think?

hero · Answer

Total gallons of pineapple juice
50 + x = y

Percent gallons of pineapple juice in each concentration
.16(50) + .30x = .20y

hero · Answer

Solve the following system of equations:

     50 + x = y
  8 + .30x = .20y

hero · Answer

50 + x = y
80 + 3x = 2y

100 + 2x = 2y
  80 + 3x = 2y


2y = 2y
100 + 2x = 80 + 3x
100 - 80 = 3x - 2x
20 = x