Min had $180 less than Hilda. Hilda gave
23 of her money to Min. Min then gave 20% of her money to Hilda. In the end, Min had $188 more than Hilda. How much did Min have at first?
| |
Hilda |
Min |
| Comparing Hilda and Min at first |
180 more |
|
| Before |
3 u |
+ 180 |
3 u |
|
| Change 1 |
- 2 u |
- 120 |
+ 2 u |
+ 120 |
| After 1 |
1 u |
+ 60 |
5 u |
+ 120 |
| Change 2 |
+ 1 u |
+ 24 |
- 1 u |
- 24 |
| After 2 |
2 u |
+ 84 |
4 u |
+ 96 |
23 x 180= 120
180 - 120 = 60
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 120
=
20100 x 120
= 24
120 - 24 = 96
60 + 24 = 84
If Hilda received another $188 in the end, Hilda and Min would have the same amount of money.
4 u + 96 = 2 u + 84 + 188
4 u - 2 u = 84 + 188 - 96
2 u = 176
1 u = 176 ÷ 2 = 88
Amount that Min had at first
= 3 u
= 3 x 88
= $264
Answer(s): $264
