The ratio of Adam's money to Bryan's money is 5 : 4.
The ratio of Bryan's money to Charlie's money is 8 : 5.
The total amount that they have is $460.
How much more money does Adam have than Charlie?
Adam |
Bryan |
Charlie |
5 x 2 |
4 x 2 |
|
|
8 x 1 |
5 x 1 |
10 u |
8 u |
5 u |
Amount that Bryan has is the repeated identity.
Make the amount that Bryan has the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Adam : Bryan : Charlie
10 : 8 : 5
Total amount that Adam, Bryan and Charlie have
= 10 u + 8 u + 5 u
= 23 u
23 u = 460
1 u = 460 ÷ 23 = 20
Amount that Adam has more than Charlie
= 10 u - 5 u
= 5 u
= 5 x 20
= $100
Answer(s): $100