Kathy and Raeann went shopping with a total of $423. After Kathy spent
56 of her money and Raeann spent $45, the ratio of Raeann's money became 3 times as much as Kathy's money. Find the ratio of Kathy's money to Raeann's money at first.
| |
Kathy |
Raeann |
| Before |
6 u |
3 u + 45 |
| Change |
- 5 u |
- 45 |
| After |
1 u |
|
| Comparing between Kathy and Raeann in the end |
1 u |
3 u |
Total amount that Kathy and Raeann had at first
= 6 u + 3 u + 45
= 9 u + 45
9 u + 45 = 423
6 u + 5 u = 423 - 45
9 u = 378
1 u = 378 ÷ 9 = 42
Amount that Kathy had at first
= 6 u
= 6 x 42
= $252
Amount that Raeann had at first
= 423 - 252
= $171
At first
Kathy : Raeann
252 : 171
28 : 19
Answer(s): 28 : 19
