Erika and Emma went shopping with a total of $391. After Erika spent
45 of her money and Emma spent $51, the ratio of Emma's money became 5 times as much as Erika's money. Find the ratio of Erika's money to Emma's money at first.
| |
Erika |
Emma |
| Before |
5 u |
5 u + 51 |
| Change |
- 4 u |
- 51 |
| After |
1 u |
|
| Comparing between Erika and Emma in the end |
1 u |
5 u |
Total amount that Erika and Emma had at first
= 5 u + 5 u + 51
= 10 u + 51
10 u + 51 = 391
5 u + 4 u = 391 - 51
10 u = 340
1 u = 340 ÷ 10 = 34
Amount that Erika had at first
= 5 u
= 5 x 34
= $170
Amount that Emma had at first
= 391 - 170
= $221
At first
Erika : Emma
170 : 221
10 : 13
Answer(s): 10 : 13
