Emma had $260 less than Lucy. Lucy gave
35 of her money to Emma. Emma then gave 25% of her money to Lucy. In the end, Emma had $234 more than Lucy. How much did Emma have at first?
| |
Lucy |
Emma |
| Comparing Lucy and Emma 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 $234 in the end, Lucy and Emma would have the same amount of money.
6 u + 117 = 4 u + 143 + 234
6 u - 4 u = 143 + 234 - 117
2 u = 260
1 u = 260 ÷ 2 = 130
Amount that Emma had at first
= 5 u
= 5 x 130
= $650
Answer(s): $650
