A bag of beads was distributed equally among 16 students. When 8 of these students gave up
23 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 |
8 |
8 |
16 |
Value |
2 u |
6 |
3 u |
Total value |
16 u |
48 |
48 u |
Number of students who received the extra beads
= 16 - 8
= 8
Total number of extra beads received by the rest of the students
= 8 x 6
= 48
Total number of beads given up
= 8 x 2 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Total number of beads for 16 students
= 16 x 3 u
= 48 u
= 48 x 3
= 144
Answer: 144