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ivolga24 [154]
2 years ago
6

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p

ure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 140 pints of a mixture that is 70% pure fruit juice?
Mathematics
1 answer:
seropon [69]2 years ago
7 0

We need 56 pints of the 55 % <em>pure fruit</em> juice and 84 pints of the 80 % <em>pure fruit</em> juice to prepare 140 pints of 70 % <em>pure fruit</em> juice.

<h3>How to use weighted averages to find the correct juice concentration</h3>

In this problem we have to use two kinds of juice with different concentrations. To get a certain concentration, we must adjust quantities of each kind and <em>weighted</em> averages offers a method that is easy to apply:

70 · 140 = 55 · x + 80 · (140 - x)

70 · 140 = 80 · 140 - 25 · x

25 · x = 10 · 140

x = 56

We need 56 pints of the 55 % <em>pure fruit</em> juice and 84 pints of the 80 % <em>pure fruit</em> juice to prepare 140 pints of 70 % <em>pure fruit</em> juice.

To learn more on weighted averages: brainly.com/question/28042295

#SPJ1

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