Question

A grocery store has an empty display container that is to be filled with bags that contain at most 20 oranges. After a clerk placed the first 20 bags of oranges into the container, the average (arithmetic mean) number of oranges per bag was 9. What is the least number of oranges that can be in the 21st bag if the average number of oranges per bag is at least 11 after 25 bags are placed in the container?

Answer 1

First, find the total number of oranges.

20 * 9 = 180

Second, find the total number of oranges in 11 bags.

11 * 25 = 275

Third, find the difference between both values.

275 - 180 = 95

Fourth, find the number of oranges in 4 bags when 20 can be place inside at most.

4 * 20 = 80

Fifth, find the difference again.

95 - 80 = 15

Therefore, the answer is 15 oranges.

Best of Luck!

Answer 2

• 15 oranges

Explanation:

Total number of oranges in 20 bags:

• 20*9 = 180

Total number of 25 bags:

• 25*11 = 275

The difference:

• 275 - 180 = 95

If the bags from 22 to 25 are filled to maximum number of 20, then total number of oranges in 4 bags is:

• 4*20 = 80

So minimum number of oranges in the bag 21 is:

• 95 - 80 = 15