A water container was 3/5 full. Ravi drained out 4 buckets from it and then…

2023

A water container was 3/5 full. Ravi drained out 4 buckets from it and then poured two buckets back in the container. The container is 1/2 full now. How many buckets can be filled if the entire container is emptied?

  1. A.

    32

  2. B.

    20

  3. C.

    44

  4. D.

    40

Attempted by 9 students.

Show answer & explanation

Correct answer: B

Let the total capacity be x buckets.

  1. Initial amount: 3/5 of x (that is 3/5 x).

  2. After draining 4 buckets and then adding 2 buckets: 3/5 x - 4 + 2 = 3/5 x - 2.

  3. This final amount is given as 1/2 of x, so set up the equation: 3/5 x - 2 = 1/2 x.

  4. Solve: 3/5 x - 1/2 x = 2. Convert to a common denominator: (6/10 - 5/10)x = 2, so (1/10)x = 2.

  5. Therefore x = 2 × 10 = 20. The full container holds 20 buckets.

Answer: 20 buckets.

Explore the full course: Deloitte Nla