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Two vessels A and B contain mixtures of milk and water in the ratios 4 : 1 and 9 : 11 respectively . They are mixed in the ratio of 3 : 2.Find the ratio of milk and water in the resulting mixture .
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- 12 : 25
- 15 : 37
- 17 : 19
- 33 : 17
Correct Option: D
First of all we write the fraction of milk and water in each mixture .
Both A and B are mixed in the ratio 3 : 2 .
∴ (3A + 2B ) will have ratio of milk and water as follows :
| Milk : Water = |  | 3 " | ) |  | : | | 3 " | ) | | ||||
| 5 | 20 | 5 | 20 |
| = | | ) | | : | | ) | | ||||
| 5 | 10 | 5 | 10 |
| = | : | ; 33 : 17 | ||
| 10 | 10 |
So , ratio of milk and water in the resulting mixture = 33 : 17
