Shiyun and Irene went shopping with a total of $728. After Shiyun spent
56 of her money and Irene spent $78, the ratio of Irene's money became 4 times as much as Shiyun's money. Find the ratio of Shiyun's money to Irene's money at first.
| |
Shiyun |
Irene |
| Before |
6 u |
4 u + 78 |
| Change |
- 5 u |
- 78 |
| After |
1 u |
|
| Comparing between Shiyun and Irene in the end |
1 u |
4 u |
Total amount that Shiyun and Irene had at first
= 6 u + 4 u + 78
= 10 u + 78
10 u + 78 = 728
6 u + 5 u = 728 - 78
10 u = 650
1 u = 650 ÷ 10 = 65
Amount that Shiyun had at first
= 6 u
= 6 x 65
= $390
Amount that Irene had at first
= 728 - 390
= $338
At first
Shiyun : Irene
390 : 338
15 : 13
Answer(s): 15 : 13
