Cathy and Hazel went shopping with a total of $363. After Cathy spent
34 of her money and Hazel spent $66, the ratio of Hazel's money became 5 times as much as Cathy's money. Find the ratio of Cathy's money to Hazel's money at first.
| |
Cathy |
Hazel |
| Before |
4 u |
5 u + 66 |
| Change |
- 3 u |
- 66 |
| After |
1 u |
|
| Comparing between Cathy and Hazel in the end |
1 u |
5 u |
Total amount that Cathy and Hazel had at first
= 4 u + 5 u + 66
= 9 u + 66
9 u + 66 = 363
4 u + 3 u = 363 - 66
9 u = 297
1 u = 297 ÷ 9 = 33
Amount that Cathy had at first
= 4 u
= 4 x 33
= $132
Amount that Hazel had at first
= 363 - 132
= $231
At first
Cathy : Hazel
132 : 231
4 : 7
Answer(s): 4 : 7
