The royal fruit company produces two types of fruit drinks. the first type is 20% pure fruit juice, and the second type is 95% pure 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?

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:

And 70 - x would be 70 - 14 = 56

Thus,

14 pints of 20% juice is needed, and

56 pints of 95% juice is needed

b

Step-by-step explanation: