Vaidev, Justin and Glen have some stickers. The ratios of their stickers are as follows:
Vaidev : (Vaidev + Justin + Glen) = 1 : 4
Justin : (Vaidev + Glen) = 1 : 5
Glen has 35 stickers more than Justin. In the end, Glen gives away all he has to Justin and Vaidev so that both Justin and Vaidev end up with the same number of stickers, how many stickers has Justin received from Glen?
Justin |
Glen |
Vaidev |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 4 and 6 is 12.
Number of stickers that Glen has more than Justin
= 7 u - 2 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
|
Justin |
Glen |
Vaidev |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of stickers that Justin has received from Glen
= 6 u - 2 u
= 4 u
= 4 x 7
= 28
Answer(s): 28