Fiona and Nora went shopping with a total of $900. After Fiona spent
56 of her money and Nora spent $42, the ratio of Nora's money became 5 times as much as Fiona's money. Find the ratio of Fiona's money to Nora's money at first.
| |
Fiona |
Nora |
| Before |
6 u |
5 u + 42 |
| Change |
- 5 u |
- 42 |
| After |
1 u |
|
| Comparing between Fiona and Nora in the end |
1 u |
5 u |
Total amount that Fiona and Nora had at first
= 6 u + 5 u + 42
= 11 u + 42
11 u + 42 = 900
6 u + 5 u = 900 - 42
11 u = 858
1 u = 858 ÷ 11 = 78
Amount that Fiona had at first
= 6 u
= 6 x 78
= $468
Amount that Nora had at first
= 900 - 468
= $432
At first
Fiona : Nora
468 : 432
13 : 12
Answer(s): 13 : 12
