Nora and Linda went shopping with a total of $352. After Nora spent
34 of her money and Linda spent $55, the ratio of Linda's money became 5 times as much as Nora's money. Find the ratio of Nora's money to Linda's money at first.
| |
Nora |
Linda |
| Before |
4 u |
5 u + 55 |
| Change |
- 3 u |
- 55 |
| After |
1 u |
|
| Comparing between Nora and Linda in the end |
1 u |
5 u |
Total amount that Nora and Linda had at first
= 4 u + 5 u + 55
= 9 u + 55
9 u + 55 = 352
4 u + 3 u = 352 - 55
9 u = 297
1 u = 297 ÷ 9 = 33
Amount that Nora had at first
= 4 u
= 4 x 33
= $132
Amount that Linda had at first
= 352 - 132
= $220
At first
Nora : Linda
132 : 220
3 : 5
Answer(s): 3 : 5
