Bryan, Archie and John have some coins. The ratios of their coins are as follows:
Bryan : (Bryan + Archie + John) = 1 : 5
Archie : (Bryan + John) = 1 : 3
John has 30 coins more than Archie. In the end, John gives away all he has to Archie and Bryan so that both Archie and Bryan end up with the same number of coins, how many coins has Archie received from John?
Archie |
John |
Bryan |
Total |
4x4 |
1x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
11 u |
4 u |
20 u |
The total number of coins is repeated. Make the total number of coins the same. LCM of 5 and 4 is 20.
Number of coins that John has more than Archie
= 11 u - 5 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
|
Archie |
John |
Bryan |
Before |
5 u |
11 u |
4 u |
Change |
+ 5 u |
- 11 u |
+ 6 u |
After |
10 u |
0 u |
10 u |
Number of coins that Archie has received from John
= 10 u - 5 u
= 5 u
= 5 x 5
= 25
Answer(s): 25