Elyse had $360 less than Kathy. Kathy gave
35 of her money to Elyse. Elyse then gave 25% of her money to Kathy. In the end, Elyse had $286 more than Kathy. How much did Elyse have at first?
| |
Kathy |
Elyse |
| Comparing Kathy and Elyse at first |
360 more |
|
| Before |
5 u |
+ 360 |
5 u |
|
| Change 1 |
- 3 u |
- 216 |
+ 3 u |
+ 216 |
| After 1 |
2 u |
+ 144 |
8 u |
+ 216 |
| Change 2 |
+ 2 u |
+ 54 |
- 2 u |
- 54 |
| After 2 |
4 u |
+ 198 |
6 u |
+ 162 |
35 x 360= 216
360 - 216 = 144
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 216
=
25100 x 216
= 54
216 - 54 = 162
144 + 54 = 198
If Kathy received another $286 in the end, Kathy and Elyse would have the same amount of money.
6 u + 162 = 4 u + 198 + 286
6 u - 4 u = 198 + 286 - 162
2 u = 322
1 u = 322 ÷ 2 = 161
Amount that Elyse had at first
= 5 u
= 5 x 161
= $805
Answer(s): $805
