Gwen had $260 more than Betty. Gwen gave
35 of her money to Betty. Betty then gave 25% of her money to Gwen. In the end, Gwen had $160 less than Betty. How much did Gwen have at first?
| |
Gwen |
Betty |
| Comparing Gwen and Betty 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 Gwen received another $160 in the end, Gwen and Betty would have the same amount of money.
6 u + 117 = 4 u + 143 + 160
6 u - 4 u = 143 + 160 - 117
2 u = 186
1 u = 186 ÷ 2 = 93
Amount that Gwen had at first
= 5 u + 260
= 5 x 93 + 260
= 465 + 260
= $725
Answer(s): $725
