Olivia had $320 less than Zoe. Zoe gave
35 of her money to Olivia. Olivia then gave 25% of her money to Zoe. In the end, Zoe had $166 less than Olivia. How much did Olivia have at first?
| |
Zoe |
Olivia |
| Comparing Zoe and Olivia at first |
320 more |
|
| Before |
5 u |
+ 320 |
5 u |
|
| Change 1 |
- 3 u |
- 192 |
+ 3 u |
+ 192 |
| After 1 |
2 u |
+ 128 |
8 u |
+ 192 |
| Change 2 |
+ 2 u |
+ 48 |
- 2 u |
- 48 |
| After 2 |
4 u |
+ 176 |
6 u |
+ 144 |
35 x 320= 192
320 - 192 = 128
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 192
=
25100 x 192
= 48
192 - 48 = 144
128 + 48 = 176
If Zoe received another $166 in the end, Zoe and Olivia would have the same amount of money.
6 u + 144 = 4 u + 176 + 166
6 u - 4 u = 176 + 166 - 144
2 u = 198
1 u = 198 ÷ 2 = 99
Amount that Olivia had at first
= 5 u
= 5 x 99
= $495
Answer(s): $495
