Cindy and Yoko went shopping with a total of $312. After Cindy spent
34 of her money and Yoko spent $78, the ratio of Yoko's money became 5 times as much as Cindy's money. Find the ratio of Cindy's money to Yoko's money at first.
|
Cindy |
Yoko |
Before |
4 u |
5 u + 78 |
Change |
- 3 u |
- 78 |
After |
1 u |
|
Comparing between Cindy and Yoko in the end |
1 u |
5 u |
Total amount that Cindy and Yoko had at first
= 4 u + 5 u + 78
= 9 u + 78
9 u + 78 = 312
4 u + 3 u = 312 - 78
9 u = 234
1 u = 234 ÷ 9 = 26
Amount that Cindy had at first
= 4 u
= 4 x 26
= $104
Amount that Yoko had at first
= 312 - 104
= $208
At first
Cindy : Yoko
104 : 208
1 : 2
Answer(s): 1 : 2