Penelope and Zara went shopping with a total of $558. After Penelope spent
56 of her money and Zara spent $48, the ratio of Zara's money became 4 times as much as Penelope's money. Find the ratio of Penelope's money to Zara's money at first.
| |
Penelope |
Zara |
| Before |
6 u |
4 u + 48 |
| Change |
- 5 u |
- 48 |
| After |
1 u |
|
| Comparing between Penelope and Zara in the end |
1 u |
4 u |
Total amount that Penelope and Zara had at first
= 6 u + 4 u + 48
= 10 u + 48
10 u + 48 = 558
6 u + 5 u = 558 - 48
10 u = 510
1 u = 510 ÷ 10 = 51
Amount that Penelope had at first
= 6 u
= 6 x 51
= $306
Amount that Zara had at first
= 558 - 306
= $252
At first
Penelope : Zara
306 : 252
17 : 14
Answer(s): 17 : 14
