A bag of marbles was distributed equally among 20 boys. When 10 of these boys gave up
34 of their share, the rest of the boys received 9 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
10 |
10 |
20 |
| Value |
3 u |
9 |
4 u |
| Total value |
30 u |
90 |
80 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 9
= 90
Total number of marbles given up
= 10 x 3 u
= 30 u
30 u = 90
1 u = 90 ÷ 30 = 3
Total number of marbles for 20 boys
= 20 x 4 u
= 80 u
= 80 x 3
= 240
Answer: 240
