Bobby, Henry and Cole have some cards. The ratios of their cards are as follows:
Bobby : (Bobby + Henry + Cole) = 1 : 3
Henry : (Bobby + Cole) = 1 : 5
Cole has 22 cards more than Henry. In the end, Cole gives away all he has to Henry and Bobby so that both Henry and Bobby end up with the same number of cards, how many cards has Henry received from Cole?
Henry |
Cole |
Bobby |
Total |
2x2 |
1x2 |
3x2 |
1x1 |
5x1 |
6x1 |
1 u |
3 u |
2 u |
6 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 3 and 6 is 6.
Number of cards that Cole has more than Henry
= 3 u - 1 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
|
Henry |
Cole |
Bobby |
Before |
1 u |
3 u |
2 u |
Change |
+ 2 u |
- 3 u |
+ 1 u |
After |
3 u |
0 u |
3 u |
Number of cards that Henry has received from Cole
= 3 u - 1 u
= 2 u
= 2 x 11
= 22
Answer(s): 22