Lucy had $260 more than Sabrina. Lucy gave
35 of her money to Sabrina. Sabrina then gave 25% of her money to Lucy. In the end, Lucy had $286 less than Sabrina. How much did Lucy have at first?
| |
Lucy |
Sabrina |
| Comparing Lucy and Sabrina 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 Lucy received another $286 in the end, Lucy and Sabrina would have the same amount of money.
6 u + 117 = 4 u + 143 + 286
6 u - 4 u = 143 + 286 - 117
2 u = 312
1 u = 312 ÷ 2 = 156
Amount that Lucy had at first
= 5 u + 260
= 5 x 156 + 260
= 780 + 260
= $1040
Answer(s): $1040
