Natalie and Penelope went shopping with a total of $310. After Natalie spent
45 of her money and Penelope spent $50, the ratio of Penelope's money became 5 times as much as Natalie's money. Find the ratio of Natalie's money to Penelope's money at first.
| |
Natalie |
Penelope |
| Before |
5 u |
5 u + 50 |
| Change |
- 4 u |
- 50 |
| After |
1 u |
|
| Comparing between Natalie and Penelope in the end |
1 u |
5 u |
Total amount that Natalie and Penelope had at first
= 5 u + 5 u + 50
= 10 u + 50
10 u + 50 = 310
5 u + 4 u = 310 - 50
10 u = 260
1 u = 260 ÷ 10 = 26
Amount that Natalie had at first
= 5 u
= 5 x 26
= $130
Amount that Penelope had at first
= 310 - 130
= $180
At first
Natalie : Penelope
130 : 180
13 : 18
Answer(s): 13 : 18
