Esther and Marion went shopping with a total of $408. After Esther spent
34 of her money and Marion spent $51, the ratio of Marion's money became 3 times as much as Esther's money. Find the ratio of Esther's money to Marion's money at first.
| |
Esther |
Marion |
| Before |
4 u |
3 u + 51 |
| Change |
- 3 u |
- 51 |
| After |
1 u |
|
| Comparing between Esther and Marion in the end |
1 u |
3 u |
Total amount that Esther and Marion had at first
= 4 u + 3 u + 51
= 7 u + 51
7 u + 51 = 408
4 u + 3 u = 408 - 51
7 u = 357
1 u = 357 ÷ 7 = 51
Amount that Esther had at first
= 4 u
= 4 x 51
= $204
Amount that Marion had at first
= 408 - 204
= $204
At first
Esther : Marion
204 : 204
1 : 1
Answer(s): 1 : 1
