Vanessa and Penelope went shopping with a total of $245. After Vanessa spent
56 of her money and Penelope spent $56, the ratio of Penelope's money became 3 times as much as Vanessa's money. Find the ratio of Vanessa's money to Penelope's money at first.
| |
Vanessa |
Penelope |
| Before |
6 u |
3 u + 56 |
| Change |
- 5 u |
- 56 |
| After |
1 u |
|
| Comparing between Vanessa and Penelope in the end |
1 u |
3 u |
Total amount that Vanessa and Penelope had at first
= 6 u + 3 u + 56
= 9 u + 56
9 u + 56 = 245
6 u + 5 u = 245 - 56
9 u = 189
1 u = 189 ÷ 9 = 21
Amount that Vanessa had at first
= 6 u
= 6 x 21
= $126
Amount that Penelope had at first
= 245 - 126
= $119
At first
Vanessa : Penelope
126 : 119
18 : 17
Answer(s): 18 : 17
