A bag of beads was distributed equally among 16 boys. When 8 of these boys gave up
25 of their share, the rest of the boys received 6 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
8 |
8 |
16 |
| Value |
2 u |
6 |
5 u |
| Total value |
16 u |
48 |
80 u |
Number of boys who received the extra beads
= 16 - 8
= 8
Total number of extra beads received by the rest of the boys
= 8 x 6
= 48
Total number of beads given up
= 8 x 2 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Total number of beads for 16 boys
= 16 x 5 u
= 80 u
= 80 x 3
= 240
Answer: 240
