Ryan, Brandon and Jeremy have some cards. The ratios of their cards are as follows:
Ryan : (Ryan + Brandon + Jeremy) = 1 : 4
Brandon : (Ryan + Jeremy) = 1 : 5
Jeremy has 35 cards more than Brandon. In the end, Jeremy gives away all he has to Brandon and Ryan so that both Brandon and Ryan end up with the same number of cards, how many cards has Ryan received from Jeremy?
Brandon |
Jeremy |
Ryan |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 4 and 6 is 12.
Number of cards that Jeremy has more than Brandon
= 7 u - 2 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
|
Brandon |
Jeremy |
Ryan |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of cards that Ryan has received from Jeremy
= 6 u - 3 u
= 3 u
= 3 x 7
= 21
Answer(s): 21