There are two containers on a table A and B. A is half full of milk, while B…
2024
There are two containers on a table A and B. A is half full of milk, while B which is twice A's size, is one quarter full of milk. Both containers are filled with water and the contents are poured into a third container C. What portion of container C's mixture is milk ?
- A.
36.66 %
- B.
33.33 %
- C.
66.66 %
- D.
22.33 %
Attempted by 9 students.
Show answer & explanation
Correct answer: B
Answer: 33.33% (1/3)
Let the volume of container A be x. Then the volume of container B is 2x.
Milk in A = 1/2 of x = x/2. Milk in B = 1/4 of 2x = (1/4)*2x = x/2.
Total milk when contents are combined = x/2 + x/2 = x.
Total mixture volume = volume of A + volume of B = x + 2x = 3x.
Fraction of mixture that is milk = total milk / total volume = x / 3x = 1/3 = 33.33%.
Common mistake: forgetting to account for the different container sizes when adding volumes, or mixing up the parts of milk and water in each container. Always compute absolute amounts before forming the final ratio.