Sarah and Zara went shopping with a total of $750. After Sarah spent
45 of her money and Zara spent $48, the ratio of Zara's money became 4 times as much as Sarah's money. Find the ratio of Sarah's money to Zara's money at first.
| |
Sarah |
Zara |
| Before |
5 u |
4 u + 48 |
| Change |
- 4 u |
- 48 |
| After |
1 u |
|
| Comparing between Sarah and Zara in the end |
1 u |
4 u |
Total amount that Sarah and Zara had at first
= 5 u + 4 u + 48
= 9 u + 48
9 u + 48 = 750
5 u + 4 u = 750 - 48
9 u = 702
1 u = 702 ÷ 9 = 78
Amount that Sarah had at first
= 5 u
= 5 x 78
= $390
Amount that Zara had at first
= 750 - 390
= $360
At first
Sarah : Zara
390 : 360
13 : 12
Answer(s): 13 : 12
