Anna and Vanessa went shopping with a total of $900. After Anna spent
45 of her money and Vanessa spent $45, the ratio of Vanessa's money became 4 times as much as Anna's money. Find the ratio of Anna's money to Vanessa's money at first.
| |
Anna |
Vanessa |
| Before |
5 u |
4 u + 45 |
| Change |
- 4 u |
- 45 |
| After |
1 u |
|
| Comparing between Anna and Vanessa in the end |
1 u |
4 u |
Total amount that Anna and Vanessa had at first
= 5 u + 4 u + 45
= 9 u + 45
9 u + 45 = 900
5 u + 4 u = 900 - 45
9 u = 855
1 u = 855 ÷ 9 = 95
Amount that Anna had at first
= 5 u
= 5 x 95
= $475
Amount that Vanessa had at first
= 900 - 475
= $425
At first
Anna : Vanessa
475 : 425
19 : 17
Answer(s): 19 : 17
