Shannon and Dana went shopping with a total of $585. After Shannon spent
56 of her money and Dana spent $90, the ratio of Dana's money became 5 times as much as Shannon's money. Find the ratio of Shannon's money to Dana's money at first.
| |
Shannon |
Dana |
| Before |
6 u |
5 u + 90 |
| Change |
- 5 u |
- 90 |
| After |
1 u |
|
| Comparing between Shannon and Dana in the end |
1 u |
5 u |
Total amount that Shannon and Dana had at first
= 6 u + 5 u + 90
= 11 u + 90
11 u + 90 = 585
6 u + 5 u = 585 - 90
11 u = 495
1 u = 495 ÷ 11 = 45
Amount that Shannon had at first
= 6 u
= 6 x 45
= $270
Amount that Dana had at first
= 585 - 270
= $315
At first
Shannon : Dana
270 : 315
6 : 7
Answer(s): 6 : 7
