Ryan, Andy, Luke and Bryan shared $180. Bryan received
14 of the total amount of money received by Ryan, Andy and Luke. Ryan received
35 of the total amount for Andy and Luke. Andy received
12 as much money as Luke. If Andy gave all his money to Bryan, how much did Bryan have more than Ryan in the end?
Ryan |
Andy |
Luke |
Bryan |
Total |
4x6 |
1x6 |
5x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
6 u |
30 u |
The total amount that Andy and Luke have is repeated. Make the total amount of Andy and Luke the same. LCM of 3 and 5 is 15.
The total amount that Ryan, Andy and Luke have is repeated. Make the total amount of Ryan, Andy and Luke the same. LCM of 24 and 4 is 24.
Total amount that Ryan, Andy, Luke and Bryan shared = 30 u
30 u = 180
1 u = 180 ÷ 30 = 6
|
Ryan |
Andy |
Luke |
Bryan |
Before |
9 u |
5 u |
10 u |
6 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
9 u |
0 u |
10 u |
11 u |
Amount that Bryan had if Andy gave him all his money
= 6 u + 5 u
= 11 u
Amount that Bryan had more than Ryan
= 11 u - 9 u
= 2 u
= 2 x 6
= $12
Answer(s): $12