Shannon and Natalie went shopping with a total of $1020. After Shannon spent
56 of her money and Natalie spent $30, the ratio of Natalie's money became 5 times as much as Shannon's money. Find the ratio of Shannon's money to Natalie's money at first.
| |
Shannon |
Natalie |
| Before |
6 u |
5 u + 30 |
| Change |
- 5 u |
- 30 |
| After |
1 u |
|
| Comparing between Shannon and Natalie in the end |
1 u |
5 u |
Total amount that Shannon and Natalie had at first
= 6 u + 5 u + 30
= 11 u + 30
11 u + 30 = 1020
6 u + 5 u = 1020 - 30
11 u = 990
1 u = 990 ÷ 11 = 90
Amount that Shannon had at first
= 6 u
= 6 x 90
= $540
Amount that Natalie had at first
= 1020 - 540
= $480
At first
Shannon : Natalie
540 : 480
9 : 8
Answer(s): 9 : 8
