Eric, Zeph and Brandon have some cards. The ratios of their cards are as follows:
Eric : (Eric + Zeph + Brandon) = 3 : 7
Zeph : (Eric + Brandon) = 1 : 5
Brandon has 60 cards more than Zeph. In the end, Brandon gives away all he has to Zeph and Eric so that both Zeph and Eric end up with the same number of cards, how many cards has Eric received from Brandon?
Zeph |
Brandon |
Eric |
Total |
4x6 |
3x6 |
7x6 |
1x7 |
5x7 |
6x7 |
7 u |
17 u |
18 u |
42 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 7 and 6 is 42.
Number of cards that Brandon has more than Zeph
= 17 u - 7 u
= 10 u
10 u = 60
1 u = 60 ÷ 10 = 6
|
Zeph |
Brandon |
Eric |
Before |
7 u |
17 u |
18 u |
Change |
+ 14 u |
- 17 u |
+ 3 u |
After |
21 u |
0 u |
21 u |
Number of cards that Eric has received from Brandon
= 21 u - 18 u
= 3 u
= 3 x 6
= 18
Answer(s): 18