Warren, Andy and Carl have some marbles. The ratios of their marbles are as follows:
Warren : (Warren + Andy + Carl) = 1 : 4
Andy : (Warren + Carl) = 1 : 5
Carl has 50 marbles more than Andy. In the end, Carl gives away all he has to Andy and Warren so that both Andy and Warren end up with the same number of marbles, how many marbles has Warren received from Carl?
Andy |
Carl |
Warren |
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 Carl has more than Andy
= 7 u - 2 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
|
Andy |
Carl |
Warren |
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 Warren has received from Carl
= 6 u - 3 u
= 3 u
= 3 x 10
= 30
Answer(s): 30