Min had $270 less than Hazel. Hazel gave
23 of her money to Min. Min then gave 20% of her money to Hazel. In the end, Min had $118 more than Hazel. How much did Min have at first?
| |
Hazel |
Min |
| Comparing Hazel and Min at first |
270 more |
|
| Before |
3 u |
+ 270 |
3 u |
|
| Change 1 |
- 2 u |
- 180 |
+ 2 u |
+ 180 |
| After 1 |
1 u |
+ 90 |
5 u |
+ 180 |
| Change 2 |
+ 1 u |
+ 36 |
- 1 u |
- 36 |
| After 2 |
2 u |
+ 126 |
4 u |
+ 144 |
23 x 270= 180
270 - 180 = 90
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 180
=
20100 x 180
= 36
180 - 36 = 144
90 + 36 = 126
If Hazel received another $118 in the end, Hazel and Min would have the same amount of money.
4 u + 144 = 2 u + 126 + 118
4 u - 2 u = 126 + 118 - 144
2 u = 100
1 u = 100 ÷ 2 = 50
Amount that Min had at first
= 3 u
= 3 x 50
= $150
Answer(s): $150
