Yoko had $240 less than Abi. Abi gave
35 of her money to Yoko. Yoko then gave 25% of her money to Abi. In the end, Abi had $130 less than Yoko. How much did Yoko have at first?
| |
Abi |
Yoko |
| Comparing Abi and Yoko at first |
240 more |
|
| Before |
5 u |
+ 240 |
5 u |
|
| Change 1 |
- 3 u |
- 144 |
+ 3 u |
+ 144 |
| After 1 |
2 u |
+ 96 |
8 u |
+ 144 |
| Change 2 |
+ 2 u |
+ 36 |
- 2 u |
- 36 |
| After 2 |
4 u |
+ 132 |
6 u |
+ 108 |
35 x 240= 144
240 - 144 = 96
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 144
=
25100 x 144
= 36
144 - 36 = 108
96 + 36 = 132
If Abi received another $130 in the end, Abi and Yoko would have the same amount of money.
6 u + 108 = 4 u + 132 + 130
6 u - 4 u = 132 + 130 - 108
2 u = 154
1 u = 154 ÷ 2 = 77
Amount that Yoko had at first
= 5 u
= 5 x 77
= $385
Answer(s): $385
