Esther and Nora went shopping with a total of $312. After Esther spent
34 of her money and Nora spent $46, the ratio of Nora's money became 3 times as much as Esther's money. Find the ratio of Esther's money to Nora's money at first.
| |
Esther |
Nora |
| Before |
4 u |
3 u + 46 |
| Change |
- 3 u |
- 46 |
| After |
1 u |
|
| Comparing between Esther and Nora in the end |
1 u |
3 u |
Total amount that Esther and Nora had at first
= 4 u + 3 u + 46
= 7 u + 46
7 u + 46 = 312
4 u + 3 u = 312 - 46
7 u = 266
1 u = 266 ÷ 7 = 38
Amount that Esther had at first
= 4 u
= 4 x 38
= $152
Amount that Nora had at first
= 312 - 152
= $160
At first
Esther : Nora
152 : 160
19 : 20
Answer(s): 19 : 20
