Will, Bryan and Jeremy have some stamps. The ratios of their stamps are as follows:
Will : (Will + Bryan + Jeremy) = 1 : 4
Bryan : (Will + Jeremy) = 1 : 4
Jeremy has 84 stamps more than Bryan. In the end, Jeremy gives away all he has to Bryan and Will so that both Bryan and Will end up with the same number of stamps, how many stamps has Bryan received from Jeremy?
Bryan |
Jeremy |
Will |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 4 and 5 is 20.
Number of stamps that Jeremy has more than Bryan
= 11 u - 4 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
|
Bryan |
Jeremy |
Will |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of stamps that Bryan has received from Jeremy
= 10 u - 4 u
= 6 u
= 6 x 12
= 72
Answer(s): 72