Tom had nine times as much money as Henry. After Tom had spent $70, Henry had four times as much money as Tom. How much more money than Henry had Tom at first?
|
Tom |
Henry |
More |
Before
|
9x4 = 36 u |
1x4 = 4 u |
32 u |
Change |
- $70 |
|
|
After |
1 u |
4 u |
|
The amount that Henry had remains unchanged. Make the amount that Henry had the same. LCM of 1 and 4 is 4.
Amount that Mark had in the end = 1 u
36 u - 70 = 1 u
36 u - 1 u = 70
35 u = 70
1 u = 70 ÷ 35 = 2
Amount that Henry had more than Tom at first
= 36 u - 4 u
= 32 u
= 32 x 2
= $64
Answer(s): $64