Natalie and Fanny went shopping with a total of $403. After Natalie spent
45 of her money and Fanny spent $93, the ratio of Fanny's money became 5 times as much as Natalie's money. Find the ratio of Natalie's money to Fanny's money at first.
|
Natalie |
Fanny |
Before |
5 u |
5 u + 93 |
Change |
- 4 u |
- 93 |
After |
1 u |
|
Comparing between Natalie and Fanny in the end |
1 u |
5 u |
Total amount that Natalie and Fanny had at first
= 5 u + 5 u + 93
= 10 u + 93
10 u + 93 = 403
5 u + 4 u = 403 - 93
10 u = 310
1 u = 310 ÷ 10 = 31
Amount that Natalie had at first
= 5 u
= 5 x 31
= $155
Amount that Fanny had at first
= 403 - 155
= $248
At first
Natalie : Fanny
155 : 248
5 : 8
Answer(s): 5 : 8