Tina had $360 less than Cathy. Cathy gave
23 of her money to Tina. Tina then gave 20% of her money to Cathy. In the end, Tina had $144 more than Cathy. How much did Tina have at first?
| |
Cathy |
Tina |
| Comparing Cathy and Tina at first |
360 more |
|
| Before |
3 u |
+ 360 |
3 u |
|
| Change 1 |
- 2 u |
- 240 |
+ 2 u |
+ 240 |
| After 1 |
1 u |
+ 120 |
5 u |
+ 240 |
| Change 2 |
+ 1 u |
+ 48 |
- 1 u |
- 48 |
| After 2 |
2 u |
+ 168 |
4 u |
+ 192 |
23 x 360= 240
360 - 240 = 120
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 240
=
20100 x 240
= 48
240 - 48 = 192
120 + 48 = 168
If Cathy received another $144 in the end, Cathy and Tina would have the same amount of money.
4 u + 192 = 2 u + 168 + 144
4 u - 2 u = 168 + 144 - 192
2 u = 120
1 u = 120 ÷ 2 = 60
Amount that Tina had at first
= 3 u
= 3 x 60
= $180
Answer(s): $180
