Vanessa and Rachel went shopping with a total of $288. After Vanessa spent
45 of her money and Rachel spent $72, the ratio of Rachel's money became 3 times as much as Vanessa's money. Find the ratio of Vanessa's money to Rachel's money at first.
| |
Vanessa |
Rachel |
| Before |
5 u |
3 u + 72 |
| Change |
- 4 u |
- 72 |
| After |
1 u |
|
| Comparing between Vanessa and Rachel in the end |
1 u |
3 u |
Total amount that Vanessa and Rachel had at first
= 5 u + 3 u + 72
= 8 u + 72
8 u + 72 = 288
5 u + 4 u = 288 - 72
8 u = 216
1 u = 216 ÷ 8 = 27
Amount that Vanessa had at first
= 5 u
= 5 x 27
= $135
Amount that Rachel had at first
= 288 - 135
= $153
At first
Vanessa : Rachel
135 : 153
15 : 17
Answer(s): 15 : 17
