Zeph, Henry and Asher have some stickers. The ratios of their stickers are as follows:
Zeph : (Zeph + Henry + Asher) = 1 : 3
Henry : (Zeph + Asher) = 1 : 5
Asher has 18 stickers more than Henry. In the end, Asher gives away all he has to Henry and Zeph so that both Henry and Zeph end up with the same number of stickers, how many stickers has Henry received from Asher?
Henry |
Asher |
Zeph |
Total |
2x2 |
1x2 |
3x2 |
1x1 |
5x1 |
6x1 |
1 u |
3 u |
2 u |
6 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 3 and 6 is 6.
Number of stickers that Asher has more than Henry
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
|
Henry |
Asher |
Zeph |
Before |
1 u |
3 u |
2 u |
Change |
+ 2 u |
- 3 u |
+ 1 u |
After |
3 u |
0 u |
3 u |
Number of stickers that Henry has received from Asher
= 3 u - 1 u
= 2 u
= 2 x 9
= 18
Answer(s): 18