In a group of 20 children, two children have hundred marbles each and ...
Given Information
- Total number of children = 20
- Two children have 100 marbles each
- Three children do not possess any marbles
- Average number of marbles with the rest of the children = 40
Calculating total marbles with the rest of the children
- Total marbles with the two children having 100 marbles each = 100 x 2 = 200
- Total marbles with the three children having no marbles = 0 x 3 = 0
- Total marbles with the rest of the children = Total marbles - (Marbles with two children + Marbles with three children)
- Total marbles with the rest of the children = Total marbles - (200 + 0) = Total marbles - 200
- Average number of marbles with the rest of the children = Total marbles with the rest of the children / Number of children with marbles
- 40 = (Total marbles - 200) / (20 - 5)
- 40 = (Total marbles - 200) / 15
- Total marbles - 200 = 40 x 15
- Total marbles - 200 = 600
- Total marbles = 600 + 200 = 800
Calculating average number of marbles with the group of children
- Total number of children = 20
- Total marbles = 800
- Average number of marbles with the group of children = Total marbles / Total number of children
- Average number of marbles with the group of children = 800 / 20 = 40
Therefore, the average number of marbles with the group of children is 40. Hence, the correct answer is option (c) 40.