A bag of marbles was distributed equally among 16 girls. When 7 of these girls gave up
38 of their share, the rest of the girls received 7 more marbles each. How many marbles were there in the bag?
|
Marbles given up |
Marbles received |
Total marbles |
Number |
7 |
9 |
16 |
Value |
3 u |
7 |
8 u |
Total value |
21 u |
63 |
128 u |
Number of girls who received the extra marbles
= 16 - 7
= 9
Total number of extra marbles received by the rest of the girls
= 9 x 7
= 63
Total number of marbles given up
= 7 x 3 u
= 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Total number of marbles for 16 girls
= 16 x 8 u
= 128 u
= 128 x 3
= 384
Answer: 384