A bag of beads was distributed equally among 15 children. When 9 of these children gave up
25 of their share, the rest of the children received 9 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
9 |
6 |
15 |
| Value |
2 u |
9 |
5 u |
| Total value |
18 u |
54 |
75 u |
Number of children who received the extra beads
= 15 - 9
= 6
Total number of extra beads received by the rest of the children
= 6 x 9
= 54
Total number of beads given up
= 9 x 2 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Total number of beads for 15 children
= 15 x 5 u
= 75 u
= 75 x 3
= 225
Answer: 225
