A bag of beads was distributed equally among 14 pupils. When 7 of these pupils gave up
29 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 |
7 |
7 |
14 |
| Value |
2 u |
6 |
9 u |
| Total value |
14 u |
42 |
126 u |
Number of pupils who received the extra beads
= 14 - 7
= 7
Total number of extra beads received by the rest of the pupils
= 7 x 6
= 42
Total number of beads given up
= 7 x 2 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Total number of beads for 14 pupils
= 14 x 9 u
= 126 u
= 126 x 3
= 378
Answer: 378
