Ivory had $20 more than Hazel at first. Hazel spent
49 of her money and Ivory spent
12 of her money. Given that they had equal amount of money left, how many much did Hazel have at first?
| |
Ivory |
Hazel |
More |
Before |
9x1 =
9 u |
2x5 =
10 u |
1 u |
Change |
- 4x1 =
- 4 u |
- 1x5 =
- 5 u |
|
After |
5x1 =
5 u |
1x5 =
5 u |
|
Fraction of money that Hazel had left
= 1 -
49 =
59 Fraction of money that Ivory had left
= 1 -
12 =
12 The amount that Ivory and Hazel had left is the same. Make the amount that Ivory and Hazel had left is the same. LCM of 5 and 1 is 5.
Amount that Hazel had at first = 9 u
Amount that Ivory had at first = 10 u
Amount that Ivory had more than Hazel at first
= 10 u - 9 u
= 1 u
= $20
Amount that Hazel had at first
= 9 u
= 9 x 20
= $180
Answer(s): $180
