A bag of marbles was distributed equally among 14 students. When 6 of these students gave up
34 of their share, the rest of the students received 9 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
6 |
8 |
14 |
| Value |
3 u |
9 |
4 u |
| Total value |
18 u |
72 |
56 u |
Number of students who received the extra marbles
= 14 - 6
= 8
Total number of extra marbles received by the rest of the students
= 8 x 9
= 72
Total number of marbles given up
= 6 x 3 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Total number of marbles for 14 students
= 14 x 4 u
= 56 u
= 56 x 4
= 224
Answer: 224
