Diana and Sabrina went shopping with a total of $504. After Diana spent
56 of her money and Sabrina spent $75, the ratio of Sabrina's money became 5 times as much as Diana's money. Find the ratio of Diana's money to Sabrina's money at first.
| |
Diana |
Sabrina |
| Before |
6 u |
5 u + 75 |
| Change |
- 5 u |
- 75 |
| After |
1 u |
|
| Comparing between Diana and Sabrina in the end |
1 u |
5 u |
Total amount that Diana and Sabrina had at first
= 6 u + 5 u + 75
= 11 u + 75
11 u + 75 = 504
6 u + 5 u = 504 - 75
11 u = 429
1 u = 429 ÷ 11 = 39
Amount that Diana had at first
= 6 u
= 6 x 39
= $234
Amount that Sabrina had at first
= 504 - 234
= $270
At first
Diana : Sabrina
234 : 270
13 : 15
Answer(s): 13 : 15
