Usha and Erika went shopping with a total of $897. After Usha spent
56 of her money and Erika spent $78, the ratio of Erika's money became 3 times as much as Usha's money. Find the ratio of Usha's money to Erika's money at first.
| |
Usha |
Erika |
| Before |
6 u |
3 u + 78 |
| Change |
- 5 u |
- 78 |
| After |
1 u |
|
| Comparing between Usha and Erika in the end |
1 u |
3 u |
Total amount that Usha and Erika had at first
= 6 u + 3 u + 78
= 9 u + 78
9 u + 78 = 897
6 u + 5 u = 897 - 78
9 u = 819
1 u = 819 ÷ 9 = 91
Amount that Usha had at first
= 6 u
= 6 x 91
= $546
Amount that Erika had at first
= 897 - 546
= $351
At first
Usha : Erika
546 : 351
14 : 9
Answer(s): 14 : 9
