The ratio of Bryan's money to Charlie's money is 8 : 3.
The ratio of Charlie's money to Adam's money is 5 : 1.
The total amount that they have is $406.
How much more money does Bryan have than Adam?
Bryan |
Charlie |
Adam |
8 x 5 |
3 x 5 |
|
|
5 x 3 |
1 x 3 |
40 u |
15 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 5.
LCM of 3 and 5 = 15
Bryan : Charlie : Adam
40 : 15 : 3
Total amount that Bryan, Charlie and Adam have
= 40 u + 15 u + 3 u
= 58 u
58 u = 406
1 u = 406 ÷ 58 = 7
Amount that Bryan has more than Adam
= 40 u - 3 u
= 37 u
= 37 x 7
= $259
Answer(s): $259