Two buckets are filled with milk and water in the ratios of 4:1 and 7:2. If these mixtures are mixed in the ratio of 1:5, respectively, then the resulting mixture will have water and milk in the ratio of:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 59 : 211.
Given:
Two buckets are filled with milk and water in the ratio of 4 : 1 and 7:2.
These mixture are in ratio of 1:5, respectively
Explanation:
The milk part in one bucket = 4/(4 + 1) = 4/5
The water part in one bucket = 1/( 4 + 1) = 1/5
Similarly, the milk part in other bucket = 7/(7 + 2) = 7/9
The water part in this bucket = 2/(7 + 2) = 2/9
According to the question
The resulting mixture will have water = 1 × (1/5) + 5 × (2/9)
⇒ (1/5) + (10/9) = 59/45
and milk = 1 × (4/5) + 5 × (7/9)
⇒ (4/5) + (35/9) = 211/45
Hence, the resulting mixture will have water and milk in the ratio of (59/45) : (211/45)
⇒ 59 : 211