Esther and Cindy went shopping with a total of $504. After Esther spent
34 of her money and Cindy spent $21, the ratio of Cindy's money became 3 times as much as Esther's money. Find the ratio of Esther's money to Cindy's money at first.
| |
Esther |
Cindy |
| Before |
4 u |
3 u + 21 |
| Change |
- 3 u |
- 21 |
| After |
1 u |
|
| Comparing between Esther and Cindy in the end |
1 u |
3 u |
Total amount that Esther and Cindy had at first
= 4 u + 3 u + 21
= 7 u + 21
7 u + 21 = 504
4 u + 3 u = 504 - 21
7 u = 483
1 u = 483 ÷ 7 = 69
Amount that Esther had at first
= 4 u
= 4 x 69
= $276
Amount that Cindy had at first
= 504 - 276
= $228
At first
Esther : Cindy
276 : 228
23 : 19
Answer(s): 23 : 19
