The ratio of Bryan's money to Charlie's money is 9 : 4.
The ratio of Charlie's money to Adam's money is 3 : 2.
The total amount that they have is $517.
How much less money does Adam have than Bryan?
Bryan |
Charlie |
Adam |
9 x 3 |
4 x 3 |
|
|
3 x 4 |
2 x 4 |
27 u |
12 u |
8 u |
Amount that Charlie has is the repeated identity.
Make the amount that Charlie has the same using the LCM of 4 and 3.
LCM of 4 and 3 = 12
Bryan : Charlie : Adam
27 : 12 : 8
Total amount that Bryan, Charlie and Adam have
= 27 u + 12 u + 8 u
= 47 u
47 u = 517
1 u = 517 ÷ 47 = 11
Amount that Adam has less than Bryan
= 27 u - 8 u
= 19 u
= 19 x 11
= $209
Answer(s): $209