Bobby, Julian, Vincent and Ken shared $140. Ken received
34 of the total amount of money received by Bobby, Julian and Vincent. Bobby received
23 of the total amount for Julian and Vincent. Julian received
13 as much money as Vincent. If Vincent gave all his money to Ken, how much did Ken have more than Julian in the end?
Bobby |
Julian |
Vincent |
Ken |
Total |
4x5 |
3x5 |
7x5 |
2x4 |
3x4 |
|
|
|
1x3 |
3x3 |
|
|
8 u |
3 u |
9 u |
15 u |
35 u |
The total amount that Julian and Vincent have is repeated. Make the total amount of Julian and Vincent the same. LCM of 4 and 3 is 12.
The total amount that Bobby, Julian and Vincent have is repeated. Make the total amount of Bobby, Julian and Vincent the same. LCM of 20 and 4 is 20.
Total amount that Bobby, Julian, Vincent and Ken shared = 35 u
35 u = 140
1 u = 140 ÷ 35 = 4
|
Bobby |
Julian |
Vincent |
Ken |
Before |
8 u |
3 u |
9 u |
15 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
8 u |
3 u |
0 u |
24 u |
Amount that Ken had if Vincent gave him all his money
= 15 u + 9 u
= 24 u
Amount that Ken had more than Julian
= 24 u - 3 u
= 21 u
= 21 x 4
= $84
Answer(s): $84