Jenson, Eric and Bobby have some stickers. The ratios of their stickers are as follows:
Jenson : (Jenson + Eric + Bobby) = 1 : 3
Eric : (Jenson + Bobby) = 1 : 5
Bobby has 8 stickers more than Eric. In the end, Bobby gives away all he has to Eric and Jenson so that both Eric and Jenson end up with the same number of stickers, how many stickers has Eric received from Bobby?
Eric |
Bobby |
Jenson |
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 Bobby has more than Eric
= 3 u - 1 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
|
Eric |
Bobby |
Jenson |
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 Eric has received from Bobby
= 3 u - 1 u
= 2 u
= 2 x 4
= 8
Answer(s): 8