A bag of marbles was distributed equally among 18 girls. When 9 of these girls gave up
38 of their share, the rest of the girls received 9 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
9 |
9 |
18 |
| Value |
3 u |
9 |
8 u |
| Total value |
27 u |
81 |
144 u |
Number of girls who received the extra marbles
= 18 - 9
= 9
Total number of extra marbles received by the rest of the girls
= 9 x 9
= 81
Total number of marbles given up
= 9 x 3 u
= 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Total number of marbles for 18 girls
= 18 x 8 u
= 144 u
= 144 x 3
= 432
Answer: 432
