Liam, Tom and Bryan have some cards. The ratios of their cards are as follows:
Liam : (Liam + Tom + Bryan) = 2 : 5
Tom : (Liam + Bryan) = 1 : 5
Bryan has 32 cards more than Tom. In the end, Bryan gives away all he has to Tom and Liam so that both Tom and Liam end up with the same number of cards, how many cards has Tom received from Bryan?
Tom |
Bryan |
Liam |
Total |
3x6 |
2x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
13 u |
12 u |
30 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 5 and 6 is 30.
Number of cards that Bryan has more than Tom
= 13 u - 5 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
|
Tom |
Bryan |
Liam |
Before |
5 u |
13 u |
12 u |
Change |
+ 10 u |
- 13 u |
+ 3 u |
After |
15 u |
0 u |
15 u |
Number of cards that Tom has received from Bryan
= 15 u - 5 u
= 10 u
= 10 x 4
= 40
Answer(s): 40