Zoe and Jen went shopping with a total of $820. After Zoe spent
45 of her money and Jen spent $28, the ratio of Jen's money became 4 times as much as Zoe's money. Find the ratio of Zoe's money to Jen's money at first.
| |
Zoe |
Jen |
| Before |
5 u |
4 u + 28 |
| Change |
- 4 u |
- 28 |
| After |
1 u |
|
| Comparing between Zoe and Jen in the end |
1 u |
4 u |
Total amount that Zoe and Jen had at first
= 5 u + 4 u + 28
= 9 u + 28
9 u + 28 = 820
5 u + 4 u = 820 - 28
9 u = 792
1 u = 792 ÷ 9 = 88
Amount that Zoe had at first
= 5 u
= 5 x 88
= $440
Amount that Jen had at first
= 820 - 440
= $380
At first
Zoe : Jen
440 : 380
22 : 19
Answer(s): 22 : 19
