A bag of marbles was distributed equally among 20 pupils. When 10 of these pupils gave up
35 of their share, the rest of the pupils received 6 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
10 |
10 |
20 |
| Value |
3 u |
6 |
5 u |
| Total value |
30 u |
60 |
100 u |
Number of pupils who received the extra marbles
= 20 - 10
= 10
Total number of extra marbles received by the rest of the pupils
= 10 x 6
= 60
Total number of marbles given up
= 10 x 3 u
= 30 u
30 u = 60
1 u = 60 ÷ 30 = 2
Total number of marbles for 20 pupils
= 20 x 5 u
= 100 u
= 100 x 2
= 200
Answer: 200
