A bag of beads was distributed equally among 14 pupils. When 6 of these pupils gave up
23 of their share, the rest of the pupils received 6 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
6 |
8 |
14 |
| Value |
2 u |
6 |
3 u |
| Total value |
12 u |
48 |
42 u |
Number of pupils who received the extra beads
= 14 - 6
= 8
Total number of extra beads received by the rest of the pupils
= 8 x 6
= 48
Total number of beads given up
= 6 x 2 u
= 12 u
12 u = 48
1 u = 48 ÷ 12 = 4
Total number of beads for 14 pupils
= 14 x 3 u
= 42 u
= 42 x 4
= 168
Answer: 168
