Irene and Min went shopping with a total of $1000. After Irene spent
45 of her money and Min spent $100, the ratio of Min's money became 4 times as much as Irene's money. Find the ratio of Irene's money to Min's money at first.
|
Irene |
Min |
Before |
5 u |
4 u + 100 |
Change |
- 4 u |
- 100 |
After |
1 u |
|
Comparing between Irene and Min in the end |
1 u |
4 u |
Total amount that Irene and Min had at first
= 5 u + 4 u + 100
= 9 u + 100
9 u + 100 = 1000
5 u + 4 u = 1000 - 100
9 u = 900
1 u = 900 ÷ 9 = 100
Amount that Irene had at first
= 5 u
= 5 x 100
= $500
Amount that Min had at first
= 1000 - 500
= $500
At first
Irene : Min
500 : 500
1 : 1
Answer(s): 1 : 1