Fred, Vaidev and Howard have some cards. The ratios of their cards are as follows:
Fred : (Fred + Vaidev + Howard) = 3 : 7
Vaidev : (Fred + Howard) = 1 : 3
Howard has 20 cards more than Vaidev. In the end, Howard gives away all he has to Vaidev and Fred so that both Vaidev and Fred end up with the same number of cards, how many cards has Fred received from Howard?
Vaidev |
Howard |
Fred |
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 Howard has more than Vaidev
= 9 u - 7 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
|
Vaidev |
Howard |
Fred |
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 Fred has received from Howard
= 14 u - 12 u
= 2 u
= 2 x 10
= 20
Answer(s): 20