A bag of marbles was distributed equally among 14 boys. When 6 of these boys gave up
47 of their share, the rest of the boys 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 |
4 u |
6 |
7 u |
| Total value |
24 u |
48 |
98 u |
Number of boys who received the extra marbles
= 14 - 6
= 8
Total number of extra marbles received by the rest of the boys
= 8 x 6
= 48
Total number of marbles given up
= 6 x 4 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Total number of marbles for 14 boys
= 14 x 7 u
= 98 u
= 98 x 2
= 196
Answer: 196
