Emma and Joelle went shopping with a total of $814. After Emma spent
56 of her money and Joelle spent $88, the ratio of Joelle's money became 5 times as much as Emma's money. Find the ratio of Emma's money to Joelle's money at first.
| |
Emma |
Joelle |
| Before |
6 u |
5 u + 88 |
| Change |
- 5 u |
- 88 |
| After |
1 u |
|
| Comparing between Emma and Joelle in the end |
1 u |
5 u |
Total amount that Emma and Joelle had at first
= 6 u + 5 u + 88
= 11 u + 88
11 u + 88 = 814
6 u + 5 u = 814 - 88
11 u = 726
1 u = 726 ÷ 11 = 66
Amount that Emma had at first
= 6 u
= 6 x 66
= $396
Amount that Joelle had at first
= 814 - 396
= $418
At first
Emma : Joelle
396 : 418
18 : 19
Answer(s): 18 : 19
