Tiffany and Yoko went shopping with a total of $390. After Tiffany spent
45 of her money and Yoko spent $30, the ratio of Yoko's money became 3 times as much as Tiffany's money. Find the ratio of Tiffany's money to Yoko's money at first.
| |
Tiffany |
Yoko |
| Before |
5 u |
3 u + 30 |
| Change |
- 4 u |
- 30 |
| After |
1 u |
|
| Comparing between Tiffany and Yoko in the end |
1 u |
3 u |
Total amount that Tiffany and Yoko had at first
= 5 u + 3 u + 30
= 8 u + 30
8 u + 30 = 390
5 u + 4 u = 390 - 30
8 u = 360
1 u = 360 ÷ 8 = 45
Amount that Tiffany had at first
= 5 u
= 5 x 45
= $225
Amount that Yoko had at first
= 390 - 225
= $165
At first
Tiffany : Yoko
225 : 165
15 : 11
Answer(s): 15 : 11
