The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 260 pints of a mixture that is 45% pure fruit juice?

Question

Mathematics

Giselle Macdonald

11 January, 21:38

The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 260 pints of a mixture that is 45% pure fruit juice?

+4

Answers (1)

Know the Answer?

Hassan Levy · Answer 1

pints of 35% pure fruit juice used=26.15

pints of 100% pure fruit juice used = 73.84

Step-by-step explanation:

Let

x = pints of 35% pure fruit juice

100-x=pints of 100% pure fruit juice

35%x+100% (100-x) = 45% (260)

0.35x + 100 - 1x = 117

-.0.65x = - 17

x = 26.15

100-x = 73.84

ans:

pints of 35% pure fruit juice used=26.15

pints of 100% pure fruit juice used = 73.84