Barbara had $300 more than Cathy. Barbara gave
35 of her money to Cathy. Cathy then gave 25% of her money to Barbara. In the end, Cathy had $158 more than Barbara. How much did Barbara have at first?
| |
Barbara |
Cathy |
Comparing Barbara
and Cathy at first |
300 more |
|
| Before |
5 u |
+ 300 |
5 u |
|
| Change 1 |
- 3 u |
- 180 |
+ 3 u |
+ 180 |
| After 1 |
2 u |
+ 120 |
8 u |
+ 180 |
| Change 2 |
+ 2 u |
+ 45 |
- 2 u |
- 45 |
| After 2 |
4 u |
+ 165 |
6 u |
+ 135 |
35 x 300= 180
300 - 180 = 120
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 180
=
25100 x 180
= 45
180 - 45 = 135
120 + 45 = 165
If Barbara received another $158 in the end, Barbara and Cathy would have the same amount of money.
6 u + 135 = 4 u + 165 + 158
6 u - 4 u = 165 + 158 - 135
2 u = 188
1 u = 188 ÷ 2 = 94
Amount that Barbara had at first
= 5 u + 300
= 5 x 94 + 300
= 470 + 300
= $770
Answer(s): $770
