Hilda and Hazel had equal amount of money. Each day, Hilda spent $17 and Hazel spent $23. When Hilda had $120 left, Hazel had
14 as much money left as Hilda. How much money did the two girls have at first?
| |
Hilda |
Hazel |
| Before |
17 u + 120 |
23 u + 30 |
| Change |
- 17 u |
- 23 u |
| After |
$120 |
$30 |
Amount that Hazel had left
=
14 x 120
= $30
The amount that Hilda and Hazel had at first is the same.
23 u + 30 = 17 u + 120
23 u - 17 u = 120 - 30
6 u = 90
1 u = 90 ÷ 6 = 15
Amount that Hilda had at first
= 17 u + 120
= 17 x 15 + 120
= 255 + 120
= $375
Total amount that both girls had at first
= 2 x 375
= $750
Answer(s): $750
