Usha and Emma went shopping with a total of $320. After Usha spent
56 of her money and Emma spent $80, the ratio of Emma's money became 4 times as much as Usha's money. Find the ratio of Usha's money to Emma's money at first.
| |
Usha |
Emma |
| Before |
6 u |
4 u + 80 |
| Change |
- 5 u |
- 80 |
| After |
1 u |
|
| Comparing between Usha and Emma in the end |
1 u |
4 u |
Total amount that Usha and Emma had at first
= 6 u + 4 u + 80
= 10 u + 80
10 u + 80 = 320
6 u + 5 u = 320 - 80
10 u = 240
1 u = 240 ÷ 10 = 24
Amount that Usha had at first
= 6 u
= 6 x 24
= $144
Amount that Emma had at first
= 320 - 144
= $176
At first
Usha : Emma
144 : 176
9 : 11
Answer(s): 9 : 11
