A bag of beads was distributed equally among 12 pupils. When 6 of these pupils gave up
310 of their share, the rest of the pupils received 6 more beads each. How many beads were there in the bag?
|
Beads given up |
Beads received |
Total beads |
Number |
6 |
6 |
12 |
Value |
3 u |
6 |
10 u |
Total value |
18 u |
36 |
120 u |
Number of pupils who received the extra beads
= 12 - 6
= 6
Total number of extra beads received by the rest of the pupils
= 6 x 6
= 36
Total number of beads given up
= 6 x 3 u
= 18 u
18 u = 36
1 u = 36 ÷ 18 = 2
Total number of beads for 12 pupils
= 12 x 10 u
= 120 u
= 120 x 2
= 240
Answer: 240