Gwen had $26 more than Sarah at first. Sarah spent
57 of her money and Gwen spent
34 of her money. Given that they had equal amount of money left, how many much did Sarah have at first?
| |
Gwen |
Sarah |
More |
Before |
7x1 =
7 u |
4x2 =
8 u |
1 u |
Change |
- 5x1 =
- 5 u |
- 3x2 =
- 6 u |
|
After |
2x1 =
2 u |
1x2 =
2 u |
|
Fraction of money that Sarah had left
= 1 -
57 =
27 Fraction of money that Gwen had left
= 1 -
34 =
14 The amount that Gwen and Sarah had left is the same. Make the amount that Gwen and Sarah had left is the same. LCM of 2 and 1 is 2.
Amount that Sarah had at first = 7 u
Amount that Gwen had at first = 8 u
Amount that Gwen had more than Sarah at first
= 8 u - 7 u
= 1 u
= $26
Amount that Sarah had at first
= 7 u
= 7 x 26
= $182
Answer(s): $182
