A bag of marbles was distributed equally among 16 children. When 8 of these children gave up
27 of their share, the rest of the children received 4 more marbles each. How many marbles were there in the bag?
|
Marbles given up |
Marbles received |
Total marbles |
Number |
8 |
8 |
16 |
Value |
2 u |
4 |
7 u |
Total value |
16 u |
32 |
112 u |
Number of children who received the extra marbles
= 16 - 8
= 8
Total number of extra marbles received by the rest of the children
= 8 x 4
= 32
Total number of marbles given up
= 8 x 2 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Total number of marbles for 16 children
= 16 x 7 u
= 112 u
= 112 x 2
= 224
Answer: 224