There are two containers on a table. A and B. A is half full of wine, while…
2024
There are two containers on a table. A and B. A is half full of wine, while B,which is twice A's size, is one quarter full of wine. Both containers are filled with water and the contents are poured into a third container C. What portion of container C's mixture is wine?
- A.
45.56%
- B.
60.45%
- C.
33.33 %
- D.
50.55 %
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Key idea: use volumes (not percentages) and compare total wine to total volume.
Let the volume of container A be x. Then container B has volume 2x.
Wine in A = half of A = x/2.
Wine in B = one quarter of B = (2x)×(1/4) = x/2.
Total wine = x/2 + x/2 = x.
Total liquid after pouring both into C = x + 2x = 3x.
Fraction of wine in C = total wine / total liquid = x / 3x = 1/3.
As a percentage: (1/3)×100 ≈ 33.33%.
Answer: 33.33% of container C's mixture is wine.