Diana and Shannon went shopping with a total of $325. After Diana spent
34 of her money and Shannon spent $100, the ratio of Shannon's money became 5 times as much as Diana's money. Find the ratio of Diana's money to Shannon's money at first.
| |
Diana |
Shannon |
| Before |
4 u |
5 u + 100 |
| Change |
- 3 u |
- 100 |
| After |
1 u |
|
| Comparing between Diana and Shannon in the end |
1 u |
5 u |
Total amount that Diana and Shannon had at first
= 4 u + 5 u + 100
= 9 u + 100
9 u + 100 = 325
4 u + 3 u = 325 - 100
9 u = 225
1 u = 225 ÷ 9 = 25
Amount that Diana had at first
= 4 u
= 4 x 25
= $100
Amount that Shannon had at first
= 325 - 100
= $225
At first
Diana : Shannon
100 : 225
4 : 9
Answer(s): 4 : 9
