Wendy had $260 less than Cindy. Cindy gave
35 of her money to Wendy. Wendy then gave 25% of her money to Cindy. In the end, Cindy had $258 less than Wendy. How much did Wendy have at first?
| |
Cindy |
Wendy |
| Comparing Cindy and Wendy at first |
260 more |
|
| Before |
5 u |
+ 260 |
5 u |
|
| Change 1 |
- 3 u |
- 156 |
+ 3 u |
+ 156 |
| After 1 |
2 u |
+ 104 |
8 u |
+ 156 |
| Change 2 |
+ 2 u |
+ 39 |
- 2 u |
- 39 |
| After 2 |
4 u |
+ 143 |
6 u |
+ 117 |
35 x 260= 156
260 - 156 = 104
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 156
=
25100 x 156
= 39
156 - 39 = 117
104 + 39 = 143
If Cindy received another $258 in the end, Cindy and Wendy would have the same amount of money.
6 u + 117 = 4 u + 143 + 258
6 u - 4 u = 143 + 258 - 117
2 u = 284
1 u = 284 ÷ 2 = 142
Amount that Wendy had at first
= 5 u
= 5 x 142
= $710
Answer(s): $710
