A bag of beads was distributed equally among 15 girls. When 6 of these girls gave up
37 of their share, the rest of the girls received 10 more beads each. How many beads were there in the bag?
|
Beads given up |
Beads received |
Total beads |
Number |
6 |
9 |
15 |
Value |
3 u |
10 |
7 u |
Total value |
18 u |
90 |
105 u |
Number of girls who received the extra beads
= 15 - 6
= 9
Total number of extra beads received by the rest of the girls
= 9 x 10
= 90
Total number of beads given up
= 6 x 3 u
= 18 u
18 u = 90
1 u = 90 ÷ 18 = 5
Total number of beads for 15 girls
= 15 x 7 u
= 105 u
= 105 x 5
= 525
Answer: 525