Kimberly had $180 more than Cathy. Kimberly gave
35 of her money to Cathy. Cathy then gave 25% of her money to Kimberly. In the end, Cathy had $228 more than Kimberly. How much did Kimberly have at first?
| |
Kimberly |
Cathy |
Comparing Kimberly
and Cathy at first |
180 more |
|
| Before |
5 u |
+ 180 |
5 u |
|
| Change 1 |
- 3 u |
- 108 |
+ 3 u |
+ 108 |
| After 1 |
2 u |
+ 72 |
8 u |
+ 108 |
| Change 2 |
+ 2 u |
+ 27 |
- 2 u |
- 27 |
| After 2 |
4 u |
+ 99 |
6 u |
+ 81 |
35 x 180= 108
180 - 108 = 72
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 108
=
25100 x 108
= 27
108 - 27 = 81
72 + 27 = 99
If Kimberly received another $228 in the end, Kimberly and Cathy would have the same amount of money.
6 u + 81 = 4 u + 99 + 228
6 u - 4 u = 99 + 228 - 81
2 u = 246
1 u = 246 ÷ 2 = 123
Amount that Kimberly had at first
= 5 u + 180
= 5 x 123 + 180
= 615 + 180
= $795
Answer(s): $795
