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notsponge [240]
3 years ago
12

The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 95% p

ure juice. The Company is attempting to produce a fruit drink that contains 80% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 70 pints of a mixture that is 80% pure fruit juice?
Mathematics
2 answers:
tigry1 [53]3 years ago
6 0

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

enot [183]3 years ago
5 0

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:

(0.2)x + (0.95)(70-x) = (0.8)(70)\\0.2x+66.5-0.95x=56\\0.75x=10.5\\x=14

And 70 - x would be 70 - 14 = 56

Thus,

14 pints of 20% juice is needed, and

56 pints of 95% juice is needed

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Using a system of equations, it is found that £52 was originally shared.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

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Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:

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Answer:

So, option A is correct.

Step-by-step explanation:

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