Jean and Esther went shopping with a total of $333. After Jean spent
45 of her money and Esther spent $45, the ratio of Esther's money became 3 times as much as Jean's money. Find the ratio of Jean's money to Esther's money at first.
| |
Jean |
Esther |
| Before |
5 u |
3 u + 45 |
| Change |
- 4 u |
- 45 |
| After |
1 u |
|
| Comparing between Jean and Esther in the end |
1 u |
3 u |
Total amount that Jean and Esther had at first
= 5 u + 3 u + 45
= 8 u + 45
8 u + 45 = 333
5 u + 4 u = 333 - 45
8 u = 288
1 u = 288 ÷ 8 = 36
Amount that Jean had at first
= 5 u
= 5 x 36
= $180
Amount that Esther had at first
= 333 - 180
= $153
At first
Jean : Esther
180 : 153
20 : 17
Answer(s): 20 : 17
