Dana had $102 more than Howard. Dana spent
45 of her money and Howard spent
38 of his money. In the end, Howard and Dana had the same amount of money left. Find the amount of money Howard had at first.
| |
Dana |
Howard |
More |
Before |
5x5 =
25 u |
8 u |
17 u |
Change |
- 4x5 =
- 20 u |
- 3 u |
|
After |
1x5 =
5 u |
5 u |
|
Fraction of money that Dana left
= 1 -
45 =
15 Fraction of money that Howard left
= 1 -
38 =
58 The amount of money that Howard and Dana had in the end is the same. Make the amount of money that Howard and Dana had in the end the same. LCM of 1 and 5 is 5.
Amount that Dana had more than Howard at first
= 25 u - 8 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Amount that Howard had at first
= 8 u
= 8 x 6
= $48
Answer(s): $48
