A bag of marbles was distributed equally among 14 girls. When 7 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 |
7 |
7 |
14 |
Value |
2 u |
6 |
3 u |
Total value |
14 u |
42 |
42 u |
Number of girls who received the extra marbles
= 14 - 7
= 7
Total number of extra marbles received by the rest of the girls
= 7 x 6
= 42
Total number of marbles given up
= 7 x 2 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Total number of marbles for 14 girls
= 14 x 3 u
= 42 u
= 42 x 3
= 126
Answer: 126