A bag of beads was distributed equally among 12 pupils. When 6 of these pupils gave up
27 of their share, the rest of the pupils 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 |
2 u |
12 |
7 u |
| Total value |
12 u |
72 |
84 u |
Number of pupils who received the extra beads
= 12 - 6
= 6
Total number of extra beads received by the rest of the pupils
= 6 x 12
= 72
Total number of beads given up
= 6 x 2 u
= 12 u
12 u = 72
1 u = 72 ÷ 12 = 6
Total number of beads for 12 pupils
= 12 x 7 u
= 84 u
= 84 x 6
= 504
Answer: 504
