Question

Mixture P and mixture Q have wine and water in ratio 3 : 7 and 1 : 4 respectively. At what ratio both mixture must mixed to get a ratio of wine to water 1 : 3 ?​

Answer 1

Given:

Mixture P and mixture Q have wine and water in ratio 3 : 7 and 1 : 4 respectively

To find:

The ratio both mixture must mixed to get a ratio of wine to water 1 : 3

Solution:

we have given three mixture whose ratio of the wine to water is given by:

Mixture P = 3:7

Mixture Q = 1:4

Resultant Mixture = 1:3

here we have to find the ratio of the mixture is mixed where we get the ratio of the resultant mixture

now we will get the value of the ratio of the mixing mixture by the mixture allegation method

          P                                    Q

         3/10                                1/5

                            1/4

      1/4 - 1/5                          1/4-3/10

          1/20                                 2/20

            1                                       2

Hence, the ratio both mixture must mixed to get a ratio of wine to water 1 : 3 is 1:2