Vincent had six times as much money as Caden. After Vincent had spent $116, Caden had five times as much money as Vincent. How much more money than Caden had Vincent at first?
| |
Vincent |
Caden |
More |
Before
|
6x5 =
30 u |
1x5 =
5 u |
25 u |
| Change |
- $116 |
|
|
| After |
1 u |
5 u |
|
The amount that Caden had remains unchanged. Make the amount that Caden had the same. LCM of 1 and 5 is 5.
Amount that Mark had in the end = 1 u
30 u - 116 = 1 u
30 u - 1 u = 116
29 u = 116
1 u = 116 ÷ 29 = 4
Amount that Caden had more than Vincent at first
= 30 u - 5 u
= 25 u
= 25 x 4
= $100
Answer(s): $100
