Multiple choice

There were 50 containers which had 32 boxes each. Each box had 92 balls. These balls were shifted into bigger containers which could contain bigger boxes. Each bigger container could hold 80 boxes and each box could hold 40 balls. Find the percentage decrease in the number of containers required to hold the balls.

  1. 10%

  2. 8%

  3. 6%

  4. 5%

  5. 4%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total balls = 50 * 32 * 92 = 147,200. New containers needed = 147,200 / (80 * 40) = 147,200 / 3200 = 46. Decrease = 50 - 46 = 4. Percentage decrease = (4 / 50) * 100 = 8%.

AI explanation

The total number of balls is 50 containers times 32 boxes times 92 balls, which equals 147200 balls. Each new container holds 80 boxes times 40 balls, meaning 3200 balls per container, so the new requirement is 147200 divided by 3200, which equals 46 containers. The decrease in containers is 50 minus 46 equals 4, and applying the percentage decrease formula of 4 divided by 50 times 100 gives an 8 percent decrease.