A bag of marbles was distributed equally among 16 children. When 8 of these children gave up
23 of their share, the rest of the children received 12 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
8 |
8 |
16 |
| Value |
2 u |
12 |
3 u |
| Total value |
16 u |
96 |
48 u |
Number of children who received the extra marbles
= 16 - 8
= 8
Total number of extra marbles received by the rest of the children
= 8 x 12
= 96
Total number of marbles given up
= 8 x 2 u
= 16 u
16 u = 96
1 u = 96 ÷ 16 = 6
Total number of marbles for 16 children
= 16 x 3 u
= 48 u
= 48 x 6
= 288
Answer: 288
