Abi and Zoe went shopping with a total of $290. After Abi spent
45 of her money and Zoe spent $20, the ratio of Zoe's money became 4 times as much as Abi's money. Find the ratio of Abi's money to Zoe's money at first.
| |
Abi |
Zoe |
| Before |
5 u |
4 u + 20 |
| Change |
- 4 u |
- 20 |
| After |
1 u |
|
| Comparing between Abi and Zoe in the end |
1 u |
4 u |
Total amount that Abi and Zoe had at first
= 5 u + 4 u + 20
= 9 u + 20
9 u + 20 = 290
5 u + 4 u = 290 - 20
9 u = 270
1 u = 270 ÷ 9 = 30
Amount that Abi had at first
= 5 u
= 5 x 30
= $150
Amount that Zoe had at first
= 290 - 150
= $140
At first
Abi : Zoe
150 : 140
15 : 14
Answer(s): 15 : 14
