Question

In two types of drink ratio of syrup and water is 2:7 and 1:5 respectively..What will be the ratio of the new mixture if 27 litres of first mixture is mixed with 18 litres of second mixture?

Answer 1

Answer:

Let 1st vessel contains x liters of mixture of milk and water.

Milk in 1st vessel =

13

4

x

Water in 1st vessel=

13

9

x

Let 2nd vessel contains Y liters of mixture of milk and water

Milk in 2nd vessel =

9

2

y

Water in 2nd vessel =

9

7

y

Let the two mixture combine such that the milk to water ratio is 2:5

13

9x

+

9

7y

13

4x

+

9

2y

=

5

2

81x+91y

36x+26y

=

5

2

180x+130y=162x+182y

18x=52y

y

x

=

9

26

Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5