A bag of beads was distributed equally among 20 students. When 10 of these students gave up
38 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 |
10 |
10 |
20 |
Value |
3 u |
6 |
8 u |
Total value |
30 u |
60 |
160 u |
Number of students who received the extra beads
= 20 - 10
= 10
Total number of extra beads received by the rest of the students
= 10 x 6
= 60
Total number of beads given up
= 10 x 3 u
= 30 u
30 u = 60
1 u = 60 ÷ 30 = 2
Total number of beads for 20 students
= 20 x 8 u
= 160 u
= 160 x 2
= 320
Answer: 320