Carl, Oscar and Ivan have some marbles. The ratios of their marbles are as follows:
Carl : (Carl + Oscar + Ivan) = 1 : 4
Oscar : (Carl + Ivan) = 1 : 5
Ivan has 10 marbles more than Oscar. In the end, Ivan gives away all he has to Oscar and Carl so that both Oscar and Carl end up with the same number of marbles, how many marbles has Carl received from Ivan?
Oscar |
Ivan |
Carl |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 4 and 6 is 12.
Number of marbles that Ivan has more than Oscar
= 7 u - 2 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
|
Oscar |
Ivan |
Carl |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of marbles that Carl has received from Ivan
= 6 u - 3 u
= 3 u
= 3 x 2
= 6
Answer(s): 6