The ratio of Adam's money to Charlie's money is 4 : 3.
The ratio of Charlie's money to Bryan's money is 2 : 1.
The total amount that they have is $578.
How much more money does Adam have than Bryan?
Adam |
Charlie |
Bryan |
4 x 2 |
3 x 2 |
|
|
2 x 3 |
1 x 3 |
8 u |
6 u |
3 u |
Amount that Charlie has is the repeated identity.
Make the amount that Charlie has the same using the LCM of 3 and 2.
LCM of 3 and 2 = 6
Adam : Charlie : Bryan
8 : 6 : 3
Total amount that Adam, Charlie and Bryan have
= 8 u + 6 u + 3 u
= 17 u
17 u = 578
1 u = 578 ÷ 17 = 34
Amount that Adam has more than Bryan
= 8 u - 3 u
= 5 u
= 5 x 34
= $170
Answer(s): $170