Yen and Erika went shopping with a total of $228. After Yen spent
34 of her money and Erika spent $81, the ratio of Erika's money became 3 times as much as Yen's money. Find the ratio of Yen's money to Erika's money at first.
| |
Yen |
Erika |
| Before |
4 u |
3 u + 81 |
| Change |
- 3 u |
- 81 |
| After |
1 u |
|
| Comparing between Yen and Erika in the end |
1 u |
3 u |
Total amount that Yen and Erika had at first
= 4 u + 3 u + 81
= 7 u + 81
7 u + 81 = 228
4 u + 3 u = 228 - 81
7 u = 147
1 u = 147 ÷ 7 = 21
Amount that Yen had at first
= 4 u
= 4 x 21
= $84
Amount that Erika had at first
= 228 - 84
= $144
At first
Yen : Erika
84 : 144
7 : 12
Answer(s): 7 : 12
