Diana and Yen went shopping with a total of $238. After Diana spent
45 of her money and Yen spent $70, the ratio of Yen's money became 3 times as much as Diana's money. Find the ratio of Diana's money to Yen's money at first.
| |
Diana |
Yen |
| Before |
5 u |
3 u + 70 |
| Change |
- 4 u |
- 70 |
| After |
1 u |
|
| Comparing between Diana and Yen in the end |
1 u |
3 u |
Total amount that Diana and Yen had at first
= 5 u + 3 u + 70
= 8 u + 70
8 u + 70 = 238
5 u + 4 u = 238 - 70
8 u = 168
1 u = 168 ÷ 8 = 21
Amount that Diana had at first
= 5 u
= 5 x 21
= $105
Amount that Yen had at first
= 238 - 105
= $133
At first
Diana : Yen
105 : 133
15 : 19
Answer(s): 15 : 19
