The ratio of Bryan's money to Charlie's money is 7 : 4.
The ratio of Charlie's money to Adam's money is 8 : 5.
The total amount that they have is $405.
How much less money does Adam have than Bryan?
Bryan |
Charlie |
Adam |
7 x 2 |
4 x 2 |
|
|
8 x 1 |
5 x 1 |
14 u |
8 u |
5 u |
Amount that Charlie has is the repeated identity.
Make the amount that Charlie has the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Bryan : Charlie : Adam
14 : 8 : 5
Total amount that Bryan, Charlie and Adam have
= 14 u + 8 u + 5 u
= 27 u
27 u = 405
1 u = 405 ÷ 27 = 15
Amount that Adam has less than Bryan
= 14 u - 5 u
= 9 u
= 9 x 15
= $135
Answer(s): $135