Esther had $280 more than Roshel. Esther gave
35 of her money to Roshel. Roshel then gave 25% of her money to Esther. In the end, Roshel had $254 more than Esther. How much did Esther have at first?
| |
Esther |
Roshel |
Comparing Esther
and Roshel at first |
280 more |
|
| Before |
5 u |
+ 280 |
5 u |
|
| Change 1 |
- 3 u |
- 168 |
+ 3 u |
+ 168 |
| After 1 |
2 u |
+ 112 |
8 u |
+ 168 |
| Change 2 |
+ 2 u |
+ 42 |
- 2 u |
- 42 |
| After 2 |
4 u |
+ 154 |
6 u |
+ 126 |
35 x 280= 168
280 - 168 = 112
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 168
=
25100 x 168
= 42
168 - 42 = 126
112 + 42 = 154
If Esther received another $254 in the end, Esther and Roshel would have the same amount of money.
6 u + 126 = 4 u + 154 + 254
6 u - 4 u = 154 + 254 - 126
2 u = 282
1 u = 282 ÷ 2 = 141
Amount that Esther had at first
= 5 u + 280
= 5 x 141 + 280
= 705 + 280
= $985
Answer(s): $985
