A bag of beads was distributed equally among 20 students. When 10 of these students gave up
45 of their share, the rest of the students received 8 more beads each. How many beads were there in the bag?
| |
Beads given up |
Beads received |
Total beads |
| Number |
10 |
10 |
20 |
| Value |
4 u |
8 |
5 u |
| Total value |
40 u |
80 |
100 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 8
= 80
Total number of beads given up
= 10 x 4 u
= 40 u
40 u = 80
1 u = 80 ÷ 40 = 2
Total number of beads for 20 students
= 20 x 5 u
= 100 u
= 100 x 2
= 200
Answer: 200
