A bag of marbles was distributed equally among 14 students. When 6 of these students gave up
23 of their share, the rest of the students received 6 more marbles each. How many marbles were there in the bag?
|
Marbles given up |
Marbles received |
Total marbles |
Number |
6 |
8 |
14 |
Value |
2 u |
6 |
3 u |
Total value |
12 u |
48 |
42 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 6
= 48
Total number of marbles given up
= 6 x 2 u
= 12 u
12 u = 48
1 u = 48 ÷ 12 = 4
Total number of marbles for 14 students
= 14 x 3 u
= 42 u
= 42 x 4
= 168
Answer: 168