Will, Ken and Ryan have some cards. The ratios of their cards are as follows:
Will : (Will + Ken + Ryan) = 1 : 3
Ken : (Will + Ryan) = 1 : 3
Ryan has 18 cards more than Ken. In the end, Ryan gives away all he has to Ken and Will so that both Ken and Will end up with the same number of cards, how many cards has Will received from Ryan?
Ken |
Ryan |
Will |
Total |
2x4 |
1x4 |
3x4 |
1x3 |
3x3 |
4x3 |
3 u |
5 u |
4 u |
12 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 3 and 4 is 12.
Number of cards that Ryan has more than Ken
= 5 u - 3 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
|
Ken |
Ryan |
Will |
Before |
3 u |
5 u |
4 u |
Change |
+ 3 u |
- 5 u |
+ 2 u |
After |
6 u |
0 u |
6 u |
Number of cards that Will has received from Ryan
= 6 u - 4 u
= 2 u
= 2 x 9
= 18
Answer(s): 18