Gwen had $27 more than Cathy at first. Cathy spent
12 of her money and Gwen spent
35 of her money. Given that they had equal amount of money left, how many much did Cathy have at first?
| |
Gwen |
Cathy |
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 Cathy had left
= 1 -
12 =
12 Fraction of money that Gwen had left
= 1 -
35 =
25 The amount that Gwen and Cathy had left is the same. Make the amount that Gwen and Cathy had left is the same. LCM of 1 and 2 is 2.
Amount that Cathy had at first = 2 u
Amount that Gwen had at first = 5 u
Amount that Gwen had more than Cathy at first
= 5 u - 2 u
= 1 u
= $27
Amount that Cathy had at first
= 2 u
= 2 x 27
= $54
Answer(s): $54
