A bag of beads was distributed equally among 16 students. When 6 of these students gave up
56 of their share, the rest of the students received 6 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
6 |
10 |
16 |
| Value |
5 u |
6 |
6 u |
| Total value |
30 u |
60 |
96 u |
Number of students who received the extra beads
= 16 - 6
= 10
Total number of extra beads received by the rest of the students
= 10 x 6
= 60
Total number of beads given up
= 6 x 5 u
= 30 u
30 u = 60
1 u = 60 ÷ 30 = 2
Total number of beads for 16 students
= 16 x 6 u
= 96 u
= 96 x 2
= 192
Answer: 192
