Tina had $240 more than Cathy. Tina gave
23 of her money to Cathy. Cathy then gave 20% of her money to Tina. In the end, Cathy had $236 more than Tina. How much did Tina have at first?
| |
Tina |
Cathy |
Comparing Tina
and Cathy at first |
240 more |
|
| Before |
3 u |
+ 240 |
3 u |
|
| Change 1 |
- 2 u |
- 160 |
+ 2 u |
+ 160 |
| After 1 |
1 u |
+ 80 |
5 u |
+ 160 |
| Change 2 |
+ 1 u |
+ 32 |
- 1 u |
- 32 |
| After 2 |
2 u |
+ 112 |
4 u |
+ 128 |
23 x 240= 160
240 - 160 = 80
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 160
=
20100 x 160
= 32
160 - 32 = 128
80 + 32 = 112
If Tina received another $236 in the end, Tina and Cathy would have the same amount of money.
4 u + 128 = 2 u + 112 + 236
4 u - 2 u = 112 + 236 - 128
2 u = 220
1 u = 220 ÷ 2 = 110
Amount that Tina had at first
= 3 u + 240
= 3 x 110 + 240
= 330 + 240
= $570
Answer(s): $570
