Olivia and Hilda went shopping with a total of $294. After Olivia spent
56 of her money and Hilda spent $24, the ratio of Hilda's money became 3 times as much as Olivia's money. Find the ratio of Olivia's money to Hilda's money at first.
| |
Olivia |
Hilda |
| Before |
6 u |
3 u + 24 |
| Change |
- 5 u |
- 24 |
| After |
1 u |
|
| Comparing between Olivia and Hilda in the end |
1 u |
3 u |
Total amount that Olivia and Hilda had at first
= 6 u + 3 u + 24
= 9 u + 24
9 u + 24 = 294
6 u + 5 u = 294 - 24
9 u = 270
1 u = 270 ÷ 9 = 30
Amount that Olivia had at first
= 6 u
= 6 x 30
= $180
Amount that Hilda had at first
= 294 - 180
= $114
At first
Olivia : Hilda
180 : 114
30 : 19
Answer(s): 30 : 19
