Jack, Gabriel, Eric and Vincent shared $84. Vincent received
16 of the total amount of money received by Jack, Gabriel and Eric. Jack received
45 of the total amount for Gabriel and Eric. Gabriel received
13 as much money as Eric. If Gabriel gave all his money to Vincent, how much did Vincent have more than Jack in the end?
Jack |
Gabriel |
Eric |
Vincent |
Total |
6x6 |
1x6 |
7x6 |
4x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
|
16 u |
5 u |
15 u |
6 u |
42 u |
The total amount that Gabriel and Eric have is repeated. Make the total amount of Gabriel and Eric the same. LCM of 4 and 5 is 20.
The total amount that Jack, Gabriel and Eric have is repeated. Make the total amount of Jack, Gabriel and Eric the same. LCM of 36 and 6 is 36.
Total amount that Jack, Gabriel, Eric and Vincent shared = 42 u
42 u = 84
1 u = 84 ÷ 42 = 2
|
Jack |
Gabriel |
Eric |
Vincent |
Before |
16 u |
5 u |
15 u |
6 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
16 u |
0 u |
15 u |
11 u |
Amount that Vincent had if Gabriel gave him all his money
= 6 u + 5 u
= 11 u
Amount that Vincent had more than Jack
= 11 u - 16 u
= -5 u
= -5 x 2
= $-10
Answer(s): $-10