Sarah and Kathy went shopping with a total of $312. After Sarah spent
34 of her money and Kathy spent $81, the ratio of Kathy's money became 3 times as much as Sarah's money. Find the ratio of Sarah's money to Kathy's money at first.
| |
Sarah |
Kathy |
| Before |
4 u |
3 u + 81 |
| Change |
- 3 u |
- 81 |
| After |
1 u |
|
| Comparing between Sarah and Kathy in the end |
1 u |
3 u |
Total amount that Sarah and Kathy had at first
= 4 u + 3 u + 81
= 7 u + 81
7 u + 81 = 312
4 u + 3 u = 312 - 81
7 u = 231
1 u = 231 ÷ 7 = 33
Amount that Sarah had at first
= 4 u
= 4 x 33
= $132
Amount that Kathy had at first
= 312 - 132
= $180
At first
Sarah : Kathy
132 : 180
11 : 15
Answer(s): 11 : 15
