Ben had thrice as much money as Nick. After Ben had spent $112, Nick had five times as much money as Ben. How much more money than Nick had Ben at first?
| |
Ben |
Nick |
More |
Before
|
3x5 =
15 u |
1x5 =
5 u |
10 u |
| Change |
- $112 |
|
|
| After |
1 u |
5 u |
|
The amount that Nick had remains unchanged. Make the amount that Nick had the same. LCM of 1 and 5 is 5.
Amount that Mark had in the end = 1 u
15 u - 112 = 1 u
15 u - 1 u = 112
14 u = 112
1 u = 112 ÷ 14 = 8
Amount that Nick had more than Ben at first
= 15 u - 5 u
= 10 u
= 10 x 8
= $80
Answer(s): $80
