Ivory and Cindy went shopping with a total of $380. After Ivory spent
34 of her money and Cindy spent $38, the ratio of Cindy's money became 5 times as much as Ivory's money. Find the ratio of Ivory's money to Cindy's money at first.
| |
Ivory |
Cindy |
| Before |
4 u |
5 u + 38 |
| Change |
- 3 u |
- 38 |
| After |
1 u |
|
| Comparing between Ivory and Cindy in the end |
1 u |
5 u |
Total amount that Ivory and Cindy had at first
= 4 u + 5 u + 38
= 9 u + 38
9 u + 38 = 380
4 u + 3 u = 380 - 38
9 u = 342
1 u = 342 ÷ 9 = 38
Amount that Ivory had at first
= 4 u
= 4 x 38
= $152
Amount that Cindy had at first
= 380 - 152
= $228
At first
Ivory : Cindy
152 : 228
2 : 3
Answer(s): 2 : 3
