Yoko had $280 less than Fanny. Fanny gave
35 of her money to Yoko. Yoko then gave 25% of her money to Fanny. In the end, Fanny had $160 less than Yoko. How much did Yoko have at first?
| |
Fanny |
Yoko |
| Comparing Fanny and Yoko 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 Fanny received another $160 in the end, Fanny and Yoko would have the same amount of money.
6 u + 126 = 4 u + 154 + 160
6 u - 4 u = 154 + 160 - 126
2 u = 188
1 u = 188 ÷ 2 = 94
Amount that Yoko had at first
= 5 u
= 5 x 94
= $470
Answer(s): $470
