Howard had thrice as much money as Zane. After Howard had spent $78, Zane had nine times as much money as Howard. How much more money than Zane had Howard at first?
| |
Howard |
Zane |
More |
Before
|
3x9 =
27 u |
1x9 =
9 u |
18 u |
| Change |
- $78 |
|
|
| After |
1 u |
9 u |
|
The amount that Zane had remains unchanged. Make the amount that Zane had the same. LCM of 1 and 9 is 9.
Amount that Mark had in the end = 1 u
27 u - 78 = 1 u
27 u - 1 u = 78
26 u = 78
1 u = 78 ÷ 26 = 3
Amount that Zane had more than Howard at first
= 27 u - 9 u
= 18 u
= 18 x 3
= $54
Answer(s): $54
