Vanessa and Jean went shopping with a total of $805. After Vanessa spent
56 of her money and Jean spent $46, the ratio of Jean's money became 5 times as much as Vanessa's money. Find the ratio of Vanessa's money to Jean's money at first.
|
Vanessa |
Jean |
Before |
6 u |
5 u + 46 |
Change |
- 5 u |
- 46 |
After |
1 u |
|
Comparing between Vanessa and Jean in the end |
1 u |
5 u |
Total amount that Vanessa and Jean had at first
= 6 u + 5 u + 46
= 11 u + 46
11 u + 46 = 805
6 u + 5 u = 805 - 46
11 u = 759
1 u = 759 ÷ 11 = 69
Amount that Vanessa had at first
= 6 u
= 6 x 69
= $414
Amount that Jean had at first
= 805 - 414
= $391
At first
Vanessa : Jean
414 : 391
18 : 17
Answer(s): 18 : 17