A bag of beads was distributed equally among 18 children. When 12 of these children gave up
25 of their share, the rest of the children received 12 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
12 |
6 |
18 |
| Value |
2 u |
12 |
5 u |
| Total value |
24 u |
72 |
90 u |
Number of children who received the extra beads
= 18 - 12
= 6
Total number of extra beads received by the rest of the children
= 6 x 12
= 72
Total number of beads given up
= 12 x 2 u
= 24 u
24 u = 72
1 u = 72 ÷ 24 = 3
Total number of beads for 18 children
= 18 x 5 u
= 90 u
= 90 x 3
= 270
Answer: 270
