Abi and Sarah went shopping with a total of $252. After Abi spent
45 of her money and Sarah spent $60, the ratio of Sarah's money became 3 times as much as Abi's money. Find the ratio of Abi's money to Sarah's money at first.
| |
Abi |
Sarah |
| Before |
5 u |
3 u + 60 |
| Change |
- 4 u |
- 60 |
| After |
1 u |
|
| Comparing between Abi and Sarah in the end |
1 u |
3 u |
Total amount that Abi and Sarah had at first
= 5 u + 3 u + 60
= 8 u + 60
8 u + 60 = 252
5 u + 4 u = 252 - 60
8 u = 192
1 u = 192 ÷ 8 = 24
Amount that Abi had at first
= 5 u
= 5 x 24
= $120
Amount that Sarah had at first
= 252 - 120
= $132
At first
Abi : Sarah
120 : 132
10 : 11
Answer(s): 10 : 11
