5 10 12 13 14 15 18 19 The Royal Fruit Company produces two types of fruit drink

Question

5 10 12 13 14 15 18 19 The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 70% Pure fruitjuce The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pits of each of the two existing types of drink must be used to make 120 pints of a mixture that is 65% pure fruit juice? Note that the ALEKS graphing calculator can be used to make computations easier First fruit drink: pints Second fruit drink: pints Subme Assignment Worked Example

Explanation / Answer

let x=pints of 40% pure fruit juice
(120-x)=pints of 70% pure fruit juice
40% of x+ 70% of (120-x)= 65% of (120)
0.40x+ 84 - 0.70x= 78
0.30x= 6
x= 20
and, 120-x= 100
ans:
pints of 40% pure fruit juice used=20
pints of 70% pure fruit juice used=100

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