The ratio of Adam's money to Bryan's money is 3 : 1.
The ratio of Bryan's money to Charlie's money is 9 : 2.
The total amount that they have is $456.
How much more money does Adam have than Charlie?
Adam |
Bryan |
Charlie |
3 x 9 |
1 x 9 |
|
|
9 x 1 |
2 x 1 |
27 u |
9 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 9.
LCM of 1 and 9 = 9
Adam : Bryan : Charlie
27 : 9 : 2
Total amount that Adam, Bryan and Charlie have
= 27 u + 9 u + 2 u
= 38 u
38 u = 456
1 u = 456 ÷ 38 = 12
Amount that Adam has more than Charlie
= 27 u - 2 u
= 25 u
= 25 x 12
= $300
Answer(s): $300