Harry had nine times as much money as Elijah. After Harry had spent $119, Elijah had twice as much money as Harry. How much more money than Elijah had Harry at first?
| |
Harry |
Elijah |
More |
Before
|
9x2 =
18 u |
1x2 =
2 u |
16 u |
| Change |
- $119 |
|
|
| After |
1 u |
2 u |
|
The amount that Elijah had remains unchanged. Make the amount that Elijah had the same. LCM of 1 and 2 is 2.
Amount that Mark had in the end = 1 u
18 u - 119 = 1 u
18 u - 1 u = 119
17 u = 119
1 u = 119 ÷ 17 = 7
Amount that Elijah had more than Harry at first
= 18 u - 2 u
= 16 u
= 16 x 7
= $112
Answer(s): $112
