Simon had eight times as much money as Archie. After Simon had spent $105, Archie had twice as much money as Simon. How much more money than Archie had Simon at first?
| |
Simon |
Archie |
More |
Before
|
8x2 =
16 u |
1x2 =
2 u |
14 u |
| Change |
- $105 |
|
|
| After |
1 u |
2 u |
|
The amount that Archie had remains unchanged. Make the amount that Archie had the same. LCM of 1 and 2 is 2.
Amount that Mark had in the end = 1 u
16 u - 105 = 1 u
16 u - 1 u = 105
15 u = 105
1 u = 105 ÷ 15 = 7
Amount that Archie had more than Simon at first
= 16 u - 2 u
= 14 u
= 14 x 7
= $98
Answer(s): $98
