Zane, George and Brandon have some stickers. The ratios of their stickers are as follows:
Zane : (Zane + George + Brandon) = 1 : 5
George : (Zane + Brandon) = 1 : 3
Brandon has 60 stickers more than George. In the end, Brandon gives away all he has to George and Zane so that both George and Zane end up with the same number of stickers, how many stickers has George received from Brandon?
George |
Brandon |
Zane |
Total |
4x4 |
1x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
11 u |
4 u |
20 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 5 and 4 is 20.
Number of stickers that Brandon has more than George
= 11 u - 5 u
= 6 u
6 u = 60
1 u = 60 ÷ 6 = 10
|
George |
Brandon |
Zane |
Before |
5 u |
11 u |
4 u |
Change |
+ 5 u |
- 11 u |
+ 6 u |
After |
10 u |
0 u |
10 u |
Number of stickers that George has received from Brandon
= 10 u - 5 u
= 5 u
= 5 x 10
= 50
Answer(s): 50