A bag of beads was distributed equally among 17 pupils. When 11 of these pupils gave up
37 of their share, the rest of the pupils received 11 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
11 |
6 |
17 |
| Value |
3 u |
11 |
7 u |
| Total value |
33 u |
66 |
119 u |
Number of pupils who received the extra beads
= 17 - 11
= 6
Total number of extra beads received by the rest of the pupils
= 6 x 11
= 66
Total number of beads given up
= 11 x 3 u
= 33 u
33 u = 66
1 u = 66 ÷ 33 = 2
Total number of beads for 17 pupils
= 17 x 7 u
= 119 u
= 119 x 2
= 238
Answer: 238
