A bag of beads was distributed equally among 18 boys. When 12 of these boys gave up
38 of their share, the rest of the boys 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 |
3 u |
12 |
8 u |
| Total value |
36 u |
72 |
144 u |
Number of boys who received the extra beads
= 18 - 12
= 6
Total number of extra beads received by the rest of the boys
= 6 x 12
= 72
Total number of beads given up
= 12 x 3 u
= 36 u
36 u = 72
1 u = 72 ÷ 36 = 2
Total number of beads for 18 boys
= 18 x 8 u
= 144 u
= 144 x 2
= 288
Answer: 288
