A bag of marbles was distributed equally among 16 girls. When 6 of these girls gave up
34 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 |
6 |
10 |
16 |
Value |
3 u |
9 |
4 u |
Total value |
18 u |
90 |
64 u |
Number of girls who received the extra marbles
= 16 - 6
= 10
Total number of extra marbles received by the rest of the girls
= 10 x 9
= 90
Total number of marbles given up
= 6 x 3 u
= 18 u
18 u = 90
1 u = 90 ÷ 18 = 5
Total number of marbles for 16 girls
= 16 x 4 u
= 64 u
= 64 x 5
= 320
Answer: 320