Cathy and Linda went shopping with a total of $935. After Cathy spent
45 of her money and Linda spent $85, the ratio of Linda's money became 5 times as much as Cathy's money. Find the ratio of Cathy's money to Linda's money at first.
| |
Cathy |
Linda |
| Before |
5 u |
5 u + 85 |
| Change |
- 4 u |
- 85 |
| After |
1 u |
|
| Comparing between Cathy and Linda in the end |
1 u |
5 u |
Total amount that Cathy and Linda had at first
= 5 u + 5 u + 85
= 10 u + 85
10 u + 85 = 935
5 u + 4 u = 935 - 85
10 u = 850
1 u = 850 ÷ 10 = 85
Amount that Cathy had at first
= 5 u
= 5 x 85
= $425
Amount that Linda had at first
= 935 - 425
= $510
At first
Cathy : Linda
425 : 510
5 : 6
Answer(s): 5 : 6
