Hilda and Winnie went shopping with a total of $380. After Hilda spent
56 of her money and Winnie spent $80, the ratio of Winnie's money became 4 times as much as Hilda's money. Find the ratio of Hilda's money to Winnie's money at first.
| |
Hilda |
Winnie |
| Before |
6 u |
4 u + 80 |
| Change |
- 5 u |
- 80 |
| After |
1 u |
|
| Comparing between Hilda and Winnie in the end |
1 u |
4 u |
Total amount that Hilda and Winnie had at first
= 6 u + 4 u + 80
= 10 u + 80
10 u + 80 = 380
6 u + 5 u = 380 - 80
10 u = 300
1 u = 300 ÷ 10 = 30
Amount that Hilda had at first
= 6 u
= 6 x 30
= $180
Amount that Winnie had at first
= 380 - 180
= $200
At first
Hilda : Winnie
180 : 200
9 : 10
Answer(s): 9 : 10
