Answer:
14 pints of 20% pure fruit juice and 56 pints of 95% pure fruit juice be used to make 70 pints of a mixture that is 80% pure fruit juice
Step-by-step explanation:
Let the volume of 20% pure fruit juice be x pints
Let the volume of 95% pure fruit juice be y pints
Total volume drink company desires to make = 70 pints
x + y = 70 ...[1]
Volume of Juice in 20% pure fruit juice = 20% of x = 0.2x pints
Volume of Juice in 95% pure fruit juice = 95% of y = 0.95y pints
Volume of fruit juice in 70 pints = 80% of 70 pints = 0.08 × 70 pints
0.2x pints + 0.95y pints = 0.08 × 70 pints
4x + 19y = 1,120....[2]
On solving [1] and [2] we get:
x = 14 pints , y = 56 pints
14 pints of 20% pure fruit juice and 56 pints of 95% pure fruit juice be used to make 70 pints of a mixture that is 80% pure fruit juice