Jane and Shannon went shopping with a total of $440. After Jane spent
34 of her money and Shannon spent $35, the ratio of Shannon's money became 5 times as much as Jane's money. Find the ratio of Jane's money to Shannon's money at first.
| |
Jane |
Shannon |
| Before |
4 u |
5 u + 35 |
| Change |
- 3 u |
- 35 |
| After |
1 u |
|
| Comparing between Jane and Shannon in the end |
1 u |
5 u |
Total amount that Jane and Shannon had at first
= 4 u + 5 u + 35
= 9 u + 35
9 u + 35 = 440
4 u + 3 u = 440 - 35
9 u = 405
1 u = 405 ÷ 9 = 45
Amount that Jane had at first
= 4 u
= 4 x 45
= $180
Amount that Shannon had at first
= 440 - 180
= $260
At first
Jane : Shannon
180 : 260
9 : 13
Answer(s): 9 : 13
