A bag of marbles was distributed equally among 20 girls. When 10 of these girls gave up
23 of their share, the rest of the girls received 6 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
10 |
10 |
20 |
| Value |
2 u |
6 |
3 u |
| Total value |
20 u |
60 |
60 u |
Number of girls who received the extra marbles
= 20 - 10
= 10
Total number of extra marbles received by the rest of the girls
= 10 x 6
= 60
Total number of marbles given up
= 10 x 2 u
= 20 u
20 u = 60
1 u = 60 ÷ 20 = 3
Total number of marbles for 20 girls
= 20 x 3 u
= 60 u
= 60 x 3
= 180
Answer: 180
