The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 65% pure fruit juice?

Jase Rocha 2022-09-16 Answered
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 65% pure fruit juice?
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Answers (1)

Genesis Rosario
Answered 2022-09-17 Author has 11 answers
Step 1
let amount of 55% pure fruit juice used be x pints ,amount of 70% pure fruit juice used be y pints
90 pints of a mixture
=> x + y = 90
y = 90 x
90 pints of a mixture that is 65% pure fruit juice
0.55 x + 0.70 y = 0.65 ( 90 )
0.55 x + 0.70 y = 58.5
substitute y = 90 x   i n   0.55 x + 0.70 y = 58.5
0.55 x + 0.70 ( 90 x ) = 58.5
0.55 x + 63 0.70 x = 58.5
63 0.15 x = 58.5
0.15 x = 4.5
x = 4.5 / 0.15
x = 30
substitute x = 30   i n   y = 90 x
y = 90 30
y = 60
30 pints of The first type(55% pure fruit juice), and 60 pints of the second type (70% pure fruit juice) must be used to make 90 pints of a mixture that is 65% pure fruit juice

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