The royal fruit company produces two types of fruit drinks. the first type is 60% pure fruit juice, and the second type is 85% pure fruit 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 160 pints of a mixture that is 80% pure fruit juice?

There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

------------------------------------------------------------------------

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

Number of pints of mixture of second type in mixture is given by

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

step-by-step explanation: