Erika and Yoko went shopping with a total of $300. After Erika spent
34 of her money and Yoko spent $55, the ratio of Yoko's money became 3 times as much as Erika's money. Find the ratio of Erika's money to Yoko's money at first.
| |
Erika |
Yoko |
| Before |
4 u |
3 u + 55 |
| Change |
- 3 u |
- 55 |
| After |
1 u |
|
| Comparing between Erika and Yoko in the end |
1 u |
3 u |
Total amount that Erika and Yoko had at first
= 4 u + 3 u + 55
= 7 u + 55
7 u + 55 = 300
4 u + 3 u = 300 - 55
7 u = 245
1 u = 245 ÷ 7 = 35
Amount that Erika had at first
= 4 u
= 4 x 35
= $140
Amount that Yoko had at first
= 300 - 140
= $160
At first
Erika : Yoko
140 : 160
7 : 8
Answer(s): 7 : 8
