Glen, Sean and Fabian have some cards. The ratios of their cards are as follows:
Glen : (Glen + Sean + Fabian) = 3 : 7
Sean : (Glen + Fabian) = 1 : 3
Fabian has 22 cards more than Sean. In the end, Fabian gives away all he has to Sean and Glen so that both Sean and Glen end up with the same number of cards, how many cards has Glen received from Fabian?
Sean |
Fabian |
Glen |
Total |
4x4 |
3x4 |
7x4 |
1x7 |
3x7 |
4x7 |
7 u |
9 u |
12 u |
28 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 7 and 4 is 28.
Number of cards that Fabian has more than Sean
= 9 u - 7 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
|
Sean |
Fabian |
Glen |
Before |
7 u |
9 u |
12 u |
Change |
+ 7 u |
- 9 u |
+ 2 u |
After |
14 u |
0 u |
14 u |
Number of cards that Glen has received from Fabian
= 14 u - 12 u
= 2 u
= 2 x 11
= 22
Answer(s): 22