The ratio of Adam's money to Bryan's money is 3 : 1.
The ratio of Bryan's money to Charlie's money is 3 : 2.
The total amount that they have is $112.
How much more money does Adam have than Charlie?
Adam |
Bryan |
Charlie |
3 x 3 |
1 x 3 |
|
|
3 x 1 |
2 x 1 |
9 u |
3 u |
2 u |
Amount that Bryan has is the repeated identity.
Make the amount that Bryan has the same using the LCM of 1 and 3.
LCM of 1 and 3 = 3
Adam : Bryan : Charlie
9 : 3 : 2
Total amount that Adam, Bryan and Charlie have
= 9 u + 3 u + 2 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
Amount that Adam has more than Charlie
= 9 u - 2 u
= 7 u
= 7 x 8
= $56
Answer(s): $56