Answer:
- 55 pints of the 80% and 165 pints of the 100%
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Combine the two types of fruit drinks in the right proportions.
Let's use x pints for the 80% pure fruit juice and y pints for the 100% pure fruit juice.
We have two equations:
- 1) x + y = 220
- 2) 0.80x + 1.00y = 0.95 * 220
From equation 1, we can write
Now substitute this expression for y in equation 2:
- 0.80x + 1.00(220 - x) = 209
Solve for x:
- 0.80x + 220 - x = 209
- 0.20x = -11
- x = 55
Now substitute x back into the expression for y:
The Royal Fruit Company must use 55 pints of the 80% and 165 pints of the 100% pure fruit juice drink.