Hilda and Kathy had equal amount of money. Each day, Hilda spent $17 and Kathy spent $27. When Hilda had $100 left, Kathy had
45 as much money left as Hilda. How much money did the two girls have at first?
| |
Hilda |
Kathy |
| Before |
17 u + 100 |
27 u + 80 |
| Change |
- 17 u |
- 27 u |
| After |
$100 |
$80 |
Amount that Kathy had left
=
45 x 100
= $80
The amount that Hilda and Kathy had at first is the same.
27 u + 80 = 17 u + 100
27 u - 17 u = 100 - 80
10 u = 20
1 u = 20 ÷ 10 = 2
Amount that Hilda had at first
= 17 u + 100
= 17 x 2 + 100
= 34 + 100
= $134
Total amount that both girls had at first
= 2 x 134
= $268
Answer(s): $268
