Question

Question No. 16

There are 4 children of ages 3, 5, 7 and 9 years. There are total 24 containers of capacity 2 litres each, out of which 8 are fully filled, 8 are half filled and the remaining 8 are empty. The milk is to be distributed among the four children such that each child receives an amount of milk (in litres) equal to his/her age (in years). Further, each child should get equal number of containers. What can be the maximum number of half-filled containers that a child can get?



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Answer 1

maximum of half filled container half filled container=4

Answer 2

Answer:

The maximum number of half - filled containers that a child can get is 3 containers

Step-by-step explanation:

Explanation:

Given , 4 children of ages 3,5,7, and 9 years

Total no. of container = 24

Capacity of each container = 2 liters

8 are fully filled , 8 are half filled and 8 are empty .

Step 1:

Let A, B C and D be  four children whose ages are  3,5,7, and 9 year .

Now according to the question ,each child should get equal no. of container .

Therefore , each child get total 6 container  and

But , milk is to be distributed among the four children such that each child receives an amount of milk equal to his / her age .

So , A receives 3 liters of milk , B receives 5 liters , C receives 7 liters and

D receives 9 liters milk .

Step 2:

A have 6 container in which three half container and three empty container

⇒ 1 +1+1 = 3 liters

B have 6 container in which one half container ,two full container and three empty container

⇒ 2+2+1 = 5 liters

C have 6 container in which one half container and three full container and 2 empty

⇒ 2+2+2+1 = 7 liters

D have 6 container in which three half container ,three  full container .

⇒ 1+1+1+2+2+2 = 9 liters

Therefore child D have maximum no . of half filled container.

Final answer :

Hence , the maximum number of half - filled containers that a child can get is 3 containers

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