A bag of beads was distributed equally among 12 girls. When 6 of these girls gave up
38 of their share, the rest of the girls received 12 more beads each. How many beads were there in the bag?
|
Beads given up |
Beads received |
Total beads |
Number |
6 |
6 |
12 |
Value |
3 u |
12 |
8 u |
Total value |
18 u |
72 |
96 u |
Number of girls who received the extra beads
= 12 - 6
= 6
Total number of extra beads received by the rest of the girls
= 6 x 12
= 72
Total number of beads given up
= 6 x 3 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Total number of beads for 12 girls
= 12 x 8 u
= 96 u
= 96 x 4
= 384
Answer: 384