Equal quantities of 3 mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.The ratio of water and milk in the new mixture isa)45:76b)151:269c)123:154d)145:245e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Given:

- Three mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.
- The quantities of the three mixtures are equal.

To find:

- The ratio of water and milk in the new mixture.

Solution:

Let's assume that we have 1 liter of each of the three mixtures, so we have:

- Mixture 1: 1/4 liter milk and 3/4 liter water
- Mixture 2: 2/5 liter milk and 3/5 liter water
- Mixture 3: 3/7 liter milk and 4/7 liter water

Now, we mix these three quantities in equal proportions. So, the total quantity of the new mixture will be 1+1+1 = 3 liters. Let's find the total quantity of milk and water in the new mixture:

- Total quantity of milk = (1/4) + (2/5) + (3/7) = (35+56+60) / (4x5x7) = 151/140 liters
- Total quantity of water = (3/4) + (3/5) + (4/7) = (105+84+80) / (4x5x7) = 269/140 liters

Therefore, the ratio of water and milk in the new mixture is:

- Water : Milk = 269 : 151

Hence, option (B) is the correct answer.

Note:

- If we assume different quantities of the three mixtures, we will get different ratios of water and milk in the new mixture. However, the ratio will always be in the form of (a/b) : (c/d) where a,b,c,d are integers.

Answer

Answer – B.151:269 Explanation : Milk = 1/4 : 2/5 :3/7 = 35/140 :56/140 : 60/140
Quantity of milk in new mix = 35+56+60 = 151 Quantity of water in new mix = 140*3 = 420-151 = 269 M:W = 151:269

Similar Quant Doubts

Three vessels contain equal mixtures of milk and water in the ratio 6 : 1, 5 : 2 and 3 : 1 respectively. If all the solutions are mixed together, the ratio of milk to water in the final mixture will be

A mixture containing milk and water in the ratio 3:2 and another mixture contains them in the ratio 4:5. How many litres of the later must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of milk and water?

Mixture A contain water and milk in the ratio 2 : 5 and mixture B contain them in the ratio 3 : 4 respectively. Equal quantities from both the mixture are taken and mixed to form mixture C. What is the ratio of milk to water in mixture C?

Vessels A and B contain mixture of milk and water in the ratios 3 : 4 and 3 : 2 respectively. In what ratio should quantities of mixtures be taken from A and B to form a mixture in which milk to water is in the ratio 6 : 5?

In a pot, the ratio of milk and water is 4 : 1. In another pot, the ratio of milk and water is 7 : 4. In what ratio mixture should be taken from both mixtures to make final mixture so that in final mixture the ratio of milk and water be 41 : 14?

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company