A bag of beads was distributed equally among 14 students. When 7 of these students gave up
29 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 |
7 |
7 |
14 |
Value |
2 u |
8 |
9 u |
Total value |
14 u |
56 |
126 u |
Number of students who received the extra beads
= 14 - 7
= 7
Total number of extra beads received by the rest of the students
= 7 x 8
= 56
Total number of beads given up
= 7 x 2 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Total number of beads for 14 students
= 14 x 9 u
= 126 u
= 126 x 4
= 504
Answer: 504