Kathy had $195 less than Diana. Diana gave
23 of her money to Kathy. Kathy then gave 20% of her money to Diana. In the end, Kathy had $253 more than Diana. How much did Kathy have at first?
| |
Diana |
Kathy |
| Comparing Diana and Kathy at first |
195 more |
|
| Before |
3 u |
+ 195 |
3 u |
|
| Change 1 |
- 2 u |
- 130 |
+ 2 u |
+ 130 |
| After 1 |
1 u |
+ 65 |
5 u |
+ 130 |
| Change 2 |
+ 1 u |
+ 26 |
- 1 u |
- 26 |
| After 2 |
2 u |
+ 91 |
4 u |
+ 104 |
23 x 195= 130
195 - 130 = 65
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 130
=
20100 x 130
= 26
130 - 26 = 104
65 + 26 = 91
If Diana received another $253 in the end, Diana and Kathy would have the same amount of money.
4 u + 104 = 2 u + 91 + 253
4 u - 2 u = 91 + 253 - 104
2 u = 240
1 u = 240 ÷ 2 = 120
Amount that Kathy had at first
= 3 u
= 3 x 120
= $360
Answer(s): $360
