Ken had seven times as much money as Eric. After Ken had spent $82, Eric had six times as much money as Ken. How much more money than Eric had Ken at first?
| |
Ken |
Eric |
More |
Before
|
7x6 =
42 u |
1x6 =
6 u |
36 u |
| Change |
- $82 |
|
|
| After |
1 u |
6 u |
|
The amount that Eric had remains unchanged. Make the amount that Eric had the same. LCM of 1 and 6 is 6.
Amount that Mark had in the end = 1 u
42 u - 82 = 1 u
42 u - 1 u = 82
41 u = 82
1 u = 82 ÷ 41 = 2
Amount that Eric had more than Ken at first
= 42 u - 6 u
= 36 u
= 36 x 2
= $72
Answer(s): $72
