A bag of marbles was distributed equally among 20 boys. When 10 of these boys gave up
45 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 |
10 |
10 |
20 |
Value |
4 u |
8 |
5 u |
Total value |
40 u |
80 |
100 u |
Number of boys who received the extra marbles
= 20 - 10
= 10
Total number of extra marbles received by the rest of the boys
= 10 x 8
= 80
Total number of marbles given up
= 10 x 4 u
= 40 u
40 u = 80
1 u = 80 ÷ 40 = 2
Total number of marbles for 20 boys
= 20 x 5 u
= 100 u
= 100 x 2
= 200
Answer: 200