Tina had $360 more than Zoe. Tina gave
35 of her money to Zoe. Zoe then gave 25% of her money to Tina. In the end, Tina had $164 less than Zoe. How much did Tina have at first?
| |
Tina |
Zoe |
| Comparing Tina and Zoe at first |
360 more |
|
| Before |
5 u |
+ 360 |
5 u |
|
| Change 1 |
- 3 u |
- 216 |
+ 3 u |
+ 216 |
| After 1 |
2 u |
+ 144 |
8 u |
+ 216 |
| Change 2 |
+ 2 u |
+ 54 |
- 2 u |
- 54 |
| After 2 |
4 u |
+ 198 |
6 u |
+ 162 |
35 x 360= 216
360 - 216 = 144
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 216
=
25100 x 216
= 54
216 - 54 = 162
144 + 54 = 198
If Tina received another $164 in the end, Tina and Zoe would have the same amount of money.
6 u + 162 = 4 u + 198 + 164
6 u - 4 u = 198 + 164 - 162
2 u = 200
1 u = 200 ÷ 2 = 100
Amount that Tina had at first
= 5 u + 360
= 5 x 100 + 360
= 500 + 360
= $860
Answer(s): $860
