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30 pints of first type and 130 pints of second type drinks must be used to make the mixture.
<em><u>Explanation</u></em>
Lets assume, the amount of first type drink is pints.
As the total amount of the mixture is 160 pints, so the amount of second type drink pints.
The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....
So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.