Rachel and Joelle went shopping with a total of $200. After Rachel spent
34 of her money and Joelle spent $60, the ratio of Joelle's money became 3 times as much as Rachel's money. Find the ratio of Rachel's money to Joelle's money at first.
| |
Rachel |
Joelle |
| Before |
4 u |
3 u + 60 |
| Change |
- 3 u |
- 60 |
| After |
1 u |
|
| Comparing between Rachel and Joelle in the end |
1 u |
3 u |
Total amount that Rachel and Joelle had at first
= 4 u + 3 u + 60
= 7 u + 60
7 u + 60 = 200
4 u + 3 u = 200 - 60
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that Rachel had at first
= 4 u
= 4 x 20
= $80
Amount that Joelle had at first
= 200 - 80
= $120
At first
Rachel : Joelle
80 : 120
2 : 3
Answer(s): 2 : 3
