Gwen had $20 more than Irene at first. Irene spent
35 of her money and Gwen spent
23 of her money. Given that they had equal amount of money left, how many much did Irene have at first?
| |
Gwen |
Irene |
More |
Before |
5x1 =
5 u |
3x2 =
6 u |
1 u |
Change |
- 3x1 =
- 3 u |
- 2x2 =
- 4 u |
|
After |
2x1 =
2 u |
1x2 =
2 u |
|
Fraction of money that Irene had left
= 1 -
35 =
25 Fraction of money that Gwen had left
= 1 -
23 =
13 The amount that Gwen and Irene had left is the same. Make the amount that Gwen and Irene had left is the same. LCM of 2 and 1 is 2.
Amount that Irene had at first = 5 u
Amount that Gwen had at first = 6 u
Amount that Gwen had more than Irene at first
= 6 u - 5 u
= 1 u
= $20
Amount that Irene had at first
= 5 u
= 5 x 20
= $100
Answer(s): $100
