A bag of marbles was distributed equally among 15 boys. When 6 of these boys gave up
27 of their share, the rest of the boys received 8 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
6 |
9 |
15 |
| Value |
2 u |
8 |
7 u |
| Total value |
12 u |
72 |
105 u |
Number of boys who received the extra marbles
= 15 - 6
= 9
Total number of extra marbles received by the rest of the boys
= 9 x 8
= 72
Total number of marbles given up
= 6 x 2 u
= 12 u
12 u = 72
1 u = 72 ÷ 12 = 6
Total number of marbles for 15 boys
= 15 x 7 u
= 105 u
= 105 x 6
= 630
Answer: 630
