Vanessa and Shannon went shopping with a total of $342. After Vanessa spent
56 of her money and Shannon spent $45, the ratio of Shannon's money became 5 times as much as Vanessa's money. Find the ratio of Vanessa's money to Shannon's money at first.
| |
Vanessa |
Shannon |
| Before |
6 u |
5 u + 45 |
| Change |
- 5 u |
- 45 |
| After |
1 u |
|
| Comparing between Vanessa and Shannon in the end |
1 u |
5 u |
Total amount that Vanessa and Shannon had at first
= 6 u + 5 u + 45
= 11 u + 45
11 u + 45 = 342
6 u + 5 u = 342 - 45
11 u = 297
1 u = 297 ÷ 11 = 27
Amount that Vanessa had at first
= 6 u
= 6 x 27
= $162
Amount that Shannon had at first
= 342 - 162
= $180
At first
Vanessa : Shannon
162 : 180
9 : 10
Answer(s): 9 : 10
