A bag of marbles was distributed equally among 16 pupils. When 8 of these pupils gave up
59 of their share, the rest of the pupils received 10 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
8 |
8 |
16 |
| Value |
5 u |
10 |
9 u |
| Total value |
40 u |
80 |
144 u |
Number of pupils who received the extra marbles
= 16 - 8
= 8
Total number of extra marbles received by the rest of the pupils
= 8 x 10
= 80
Total number of marbles given up
= 8 x 5 u
= 40 u
40 u = 80
1 u = 80 ÷ 40 = 2
Total number of marbles for 16 pupils
= 16 x 9 u
= 144 u
= 144 x 2
= 288
Answer: 288
