Nick had thrice as much money as Rael. After Nick had spent $100, Rael had seven times as much money as Nick. How much more money than Rael had Nick at first?
| |
Nick |
Rael |
More |
Before
|
3x7 =
21 u |
1x7 =
7 u |
14 u |
| Change |
- $100 |
|
|
| After |
1 u |
7 u |
|
The amount that Rael had remains unchanged. Make the amount that Rael had the same. LCM of 1 and 7 is 7.
Amount that Mark had in the end = 1 u
21 u - 100 = 1 u
21 u - 1 u = 100
20 u = 100
1 u = 100 ÷ 20 = 5
Amount that Rael had more than Nick at first
= 21 u - 7 u
= 14 u
= 14 x 5
= $70
Answer(s): $70
