Question

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?

Answer 1

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

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

`(1)/(5)* 160\\\\=32\ pints`

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

`(4)/(5)* 160\\\\=4* 32\\\\=128\ pints`

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