Elyse had $120 less than Eva. Eva gave
35 of her money to Elyse. Elyse then gave 25% of her money to Eva. In the end, Eva had $270 less than Elyse. How much did Elyse have at first?
| |
Eva |
Elyse |
| Comparing Eva and Elyse at first |
120 more |
|
| Before |
5 u |
+ 120 |
5 u |
|
| Change 1 |
- 3 u |
- 72 |
+ 3 u |
+ 72 |
| After 1 |
2 u |
+ 48 |
8 u |
+ 72 |
| Change 2 |
+ 2 u |
+ 18 |
- 2 u |
- 18 |
| After 2 |
4 u |
+ 66 |
6 u |
+ 54 |
35 x 120= 72
120 - 72 = 48
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 72
=
25100 x 72
= 18
72 - 18 = 54
48 + 18 = 66
If Eva received another $270 in the end, Eva and Elyse would have the same amount of money.
6 u + 54 = 4 u + 66 + 270
6 u - 4 u = 66 + 270 - 54
2 u = 282
1 u = 282 ÷ 2 = 141
Amount that Elyse had at first
= 5 u
= 5 x 141
= $705
Answer(s): $705
