A bag of marbles was distributed equally among 20 boys. When 10 of these boys gave up
25 of their share, the rest of the boys received 4 more marbles each. How many marbles were there in the bag?
|
Marbles given up |
Marbles received |
Total marbles |
Number |
10 |
10 |
20 |
Value |
2 u |
4 |
5 u |
Total value |
20 u |
40 |
100 u |
Number of boys who received the extra marbles
= 20 - 10
= 10
Total number of extra marbles received by the rest of the boys
= 10 x 4
= 40
Total number of marbles given up
= 10 x 2 u
= 20 u
20 u = 40
1 u = 40 ÷ 20 = 2
Total number of marbles for 20 boys
= 20 x 5 u
= 100 u
= 100 x 2
= 200
Answer: 200