A bag of marbles was distributed equally among 15 children. When 6 of these children gave up
38 of their share, the rest of the children received 6 more marbles each. How many marbles were there in the bag?
|
Marbles given up |
Marbles received |
Total marbles |
Number |
6 |
9 |
15 |
Value |
3 u |
6 |
8 u |
Total value |
18 u |
54 |
120 u |
Number of children who received the extra marbles
= 15 - 6
= 9
Total number of extra marbles received by the rest of the children
= 9 x 6
= 54
Total number of marbles given up
= 6 x 3 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Total number of marbles for 15 children
= 15 x 8 u
= 120 u
= 120 x 3
= 360
Answer: 360