Multiple choice

A milk shop has 3 varieties of milk, 1st variety have 100% concentration of milk. 2nd variety have water and milk in ratio 5: 2 and the third variety have the ratio of milk and water is 3: 8. Naimish want a milk with 50% concentration of milk for which he buys 14 litre of 2nd variety milk and 22 litre of 3rd variety milk how much 1st variety of milk should he buy now to get the required concentration?

  1. 10

  2. 16

  3. 20

  4. 26

  5. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

2nd variety (5:2 water:milk): milk=2/7 of 14=4L. 3rd variety (3:8 milk:water): milk=3/11 of 22=6L. Total from mixtures=10L milk from 36L. 1st variety is 100% milk. To get 50% concentration in 36+ x L, we need 18+0.5x L milk. 18+0.5x=10+x, so 0.5x=8, x=16L.

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