Ryan, Eric, Vincent and Vaidev shared $216. Vaidev received
15 of the total amount of money received by Ryan, Eric and Vincent. Ryan received
13 of the total amount for Eric and Vincent. Eric received
23 as much money as Vincent. If Vincent gave all his money to Vaidev, how much did Vaidev have more than Eric in the end?
Ryan |
Eric |
Vincent |
Vaidev |
Total |
5x4 |
1x4 |
6x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
4 u |
24 u |
The total amount that Eric and Vincent have is repeated. Make the total amount of Eric and Vincent the same. LCM of 5 and 3 is 15.
The total amount that Ryan, Eric and Vincent have is repeated. Make the total amount of Ryan, Eric and Vincent the same. LCM of 20 and 5 is 20.
Total amount that Ryan, Eric, Vincent and Vaidev shared = 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
|
Ryan |
Eric |
Vincent |
Vaidev |
Before |
5 u |
6 u |
9 u |
4 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
5 u |
6 u |
0 u |
13 u |
Amount that Vaidev had if Vincent gave him all his money
= 4 u + 9 u
= 13 u
Amount that Vaidev had more than Eric
= 13 u - 6 u
= 7 u
= 7 x 9
= $63
Answer(s): $63