Erika had $150 more than Kathy. Erika gave
23 of her money to Kathy. Kathy then gave 20% of her money to Erika. In the end, Erika had $276 less than Kathy. How much did Erika have at first?
| |
Erika |
Kathy |
| Comparing Erika and Kathy at first |
150 more |
|
| Before |
3 u |
+ 150 |
3 u |
|
| Change 1 |
- 2 u |
- 100 |
+ 2 u |
+ 100 |
| After 1 |
1 u |
+ 50 |
5 u |
+ 100 |
| Change 2 |
+ 1 u |
+ 20 |
- 1 u |
- 20 |
| After 2 |
2 u |
+ 70 |
4 u |
+ 80 |
23 x 150= 100
150 - 100 = 50
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 100
=
20100 x 100
= 20
100 - 20 = 80
50 + 20 = 70
If Erika received another $276 in the end, Erika and Kathy would have the same amount of money.
4 u + 80 = 2 u + 70 + 276
4 u - 2 u = 70 + 276 - 80
2 u = 266
1 u = 266 ÷ 2 = 133
Amount that Erika had at first
= 3 u + 150
= 3 x 133 + 150
= 399 + 150
= $549
Answer(s): $549
