Jane had $20 more than Dana at first. Dana spent
12 of her money and Jane spent
35 of her money. Given that they had equal amount of money left, how many much did Dana have at first?
| |
Jane |
Dana |
More |
Before |
2x2 =
2 u |
5x1 =
5 u |
1 u |
Change |
- 1x2 =
- 2 u |
- 3x1 =
- 3 u |
|
After |
1x2 =
2 u |
2x1 =
2 u |
|
Fraction of money that Dana had left
= 1 -
12 =
12 Fraction of money that Jane had left
= 1 -
35 =
25 The amount that Jane and Dana had left is the same. Make the amount that Jane and Dana had left is the same. LCM of 1 and 2 is 2.
Amount that Dana had at first = 2 u
Amount that Jane had at first = 5 u
Amount that Jane had more than Dana at first
= 5 u - 2 u
= 1 u
= $20
Amount that Dana had at first
= 2 u
= 2 x 20
= $40
Answer(s): $40
