Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:
[tex](0.2)x + (0.95)(70-x) = (0.8)(70)\\0.2x+66.5-0.95x=56\\0.75x=10.5\\x=14[/tex]
And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
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