A bag of marbles was distributed equally among 11 girls. When 6 of these girls gave up
58 of their share, the rest of the girls received 12 more marbles each. How many marbles were there in the bag?
| |
Marbles given up |
Marbles received |
Total marbles |
| Number |
6 |
5 |
11 |
| Value |
5 u |
12 |
8 u |
| Total value |
30 u |
60 |
88 u |
Number of girls who received the extra marbles
= 11 - 6
= 5
Total number of extra marbles received by the rest of the girls
= 5 x 12
= 60
Total number of marbles given up
= 6 x 5 u
= 30 u
30 u = 60
1 u = 60 ÷ 30 = 2
Total number of marbles for 11 girls
= 11 x 8 u
= 88 u
= 88 x 2
= 176
Answer: 176
