Gwen had $28 more than Hazel at first. Hazel 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 Hazel have at first?
| |
Gwen |
Hazel |
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 Hazel had left
= 1 -
12 =
12 Fraction of money that Gwen had left
= 1 -
35 =
25 The amount that Gwen and Hazel had left is the same. Make the amount that Gwen and Hazel had left is the same. LCM of 1 and 2 is 2.
Amount that Hazel had at first = 2 u
Amount that Gwen had at first = 5 u
Amount that Gwen had more than Hazel at first
= 5 u - 2 u
= 1 u
= $28
Amount that Hazel had at first
= 2 u
= 2 x 28
= $56
Answer(s): $56
