Rachel and Kathy went shopping with a total of $468. After Rachel spent
56 of her money and Kathy spent $68, the ratio of Kathy's money became 4 times as much as Rachel's money. Find the ratio of Rachel's money to Kathy's money at first.
| |
Rachel |
Kathy |
| Before |
6 u |
4 u + 68 |
| Change |
- 5 u |
- 68 |
| After |
1 u |
|
| Comparing between Rachel and Kathy in the end |
1 u |
4 u |
Total amount that Rachel and Kathy had at first
= 6 u + 4 u + 68
= 10 u + 68
10 u + 68 = 468
6 u + 5 u = 468 - 68
10 u = 400
1 u = 400 ÷ 10 = 40
Amount that Rachel had at first
= 6 u
= 6 x 40
= $240
Amount that Kathy had at first
= 468 - 240
= $228
At first
Rachel : Kathy
240 : 228
20 : 19
Answer(s): 20 : 19
