Two mixtures have milk and water in the ratio 1:4 and 3:2 respectively. In what ratio must these two types of mixtures be mixed to get a new mixture having a ratio of milk and water as 1:1?
- A4:3
- B5:3
- C3:2
- D1:3
Solution & Step-by-step Explanation
Let's solve this using the method of Alligation by focusing on the proportion of milk in each mixture.
Proportion of milk in the 1st mixture =
1+4
1
=
5
1
Proportion of milk in the 2nd mixture =
3+2
3
=
5
3
Proportion of milk in the final mean mixture =
1+1
1
=
2
1
Using Alligation:
Mixture 1
5
1
↙
(
5
3
−
2
1
)
↘↙
2
1
Mixture 2
5
3
↘
(
2
1
−
5
1
)
Calculate the differences:
5
3
−
2
1
=
10
6−5
=
10
1
2
1
−
5
1
=
10
5−2
=
10
3
Required ratio =
10
1
:
10
3
=1:3
Proportion of milk in the 1st mixture =
1+4
1
=
5
1
Proportion of milk in the 2nd mixture =
3+2
3
=
5
3
Proportion of milk in the final mean mixture =
1+1
1
=
2
1
Using Alligation:
Mixture 1
5
1
↙
(
5
3
−
2
1
)
↘↙
2
1
Mixture 2
5
3
↘
(
2
1
−
5
1
)
Calculate the differences:
5
3
−
2
1
=
10
6−5
=
10
1
2
1
−
5
1
=
10
5−2
=
10
3
Required ratio =
10
1
:
10
3
=1:3