Kathy and Yen went shopping with a total of $840. After Kathy spent
56 of her money and Yen spent $30, the ratio of Yen's money became 3 times as much as Kathy's money. Find the ratio of Kathy's money to Yen's money at first.
| |
Kathy |
Yen |
| Before |
6 u |
3 u + 30 |
| Change |
- 5 u |
- 30 |
| After |
1 u |
|
| Comparing between Kathy and Yen in the end |
1 u |
3 u |
Total amount that Kathy and Yen had at first
= 6 u + 3 u + 30
= 9 u + 30
9 u + 30 = 840
6 u + 5 u = 840 - 30
9 u = 810
1 u = 810 ÷ 9 = 90
Amount that Kathy had at first
= 6 u
= 6 x 90
= $540
Amount that Yen had at first
= 840 - 540
= $300
At first
Kathy : Yen
540 : 300
9 : 5
Answer(s): 9 : 5
