Lucy and Hilda went shopping with a total of $645. After Lucy spent
34 of her money and Hilda spent $43, the ratio of Hilda's money became 3 times as much as Lucy's money. Find the ratio of Lucy's money to Hilda's money at first.
| |
Lucy |
Hilda |
| Before |
4 u |
3 u + 43 |
| Change |
- 3 u |
- 43 |
| After |
1 u |
|
| Comparing between Lucy and Hilda in the end |
1 u |
3 u |
Total amount that Lucy and Hilda had at first
= 4 u + 3 u + 43
= 7 u + 43
7 u + 43 = 645
4 u + 3 u = 645 - 43
7 u = 602
1 u = 602 ÷ 7 = 86
Amount that Lucy had at first
= 4 u
= 4 x 86
= $344
Amount that Hilda had at first
= 645 - 344
= $301
At first
Lucy : Hilda
344 : 301
8 : 7
Answer(s): 8 : 7
