Emily had $100 less than Winnie. Winnie gave
35 of her money to Emily. Emily then gave 25% of her money to Winnie. In the end, Emily had $192 more than Winnie. How much did Emily have at first?
| |
Winnie |
Emily |
| Comparing Winnie and Emily at first |
100 more |
|
| Before |
5 u |
+ 100 |
5 u |
|
| Change 1 |
- 3 u |
- 60 |
+ 3 u |
+ 60 |
| After 1 |
2 u |
+ 40 |
8 u |
+ 60 |
| Change 2 |
+ 2 u |
+ 15 |
- 2 u |
- 15 |
| After 2 |
4 u |
+ 55 |
6 u |
+ 45 |
35 x 100= 60
100 - 60 = 40
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 60
=
25100 x 60
= 15
60 - 15 = 45
40 + 15 = 55
If Winnie received another $192 in the end, Winnie and Emily would have the same amount of money.
6 u + 45 = 4 u + 55 + 192
6 u - 4 u = 55 + 192 - 45
2 u = 202
1 u = 202 ÷ 2 = 101
Amount that Emily had at first
= 5 u
= 5 x 101
= $505
Answer(s): $505
