Jen and Emma went shopping with a total of $544. After Jen spent
45 of her money and Emma spent $34, the ratio of Emma's money became 5 times as much as Jen's money. Find the ratio of Jen's money to Emma's money at first.
| |
Jen |
Emma |
| Before |
5 u |
5 u + 34 |
| Change |
- 4 u |
- 34 |
| After |
1 u |
|
| Comparing between Jen and Emma in the end |
1 u |
5 u |
Total amount that Jen and Emma had at first
= 5 u + 5 u + 34
= 10 u + 34
10 u + 34 = 544
5 u + 4 u = 544 - 34
10 u = 510
1 u = 510 ÷ 10 = 51
Amount that Jen had at first
= 5 u
= 5 x 51
= $255
Amount that Emma had at first
= 544 - 255
= $289
At first
Jen : Emma
255 : 289
15 : 17
Answer(s): 15 : 17
