Tina had $460 less than Pamela. Pamela gave
35 of her money to Tina. Tina then gave 25% of her money to Pamela. In the end, Tina had $160 more than Pamela. How much did Tina have at first?
| |
Pamela |
Tina |
| Comparing Pamela and Tina at first |
460 more |
|
| Before |
5 u |
+ 460 |
5 u |
|
| Change 1 |
- 3 u |
- 276 |
+ 3 u |
+ 276 |
| After 1 |
2 u |
+ 184 |
8 u |
+ 276 |
| Change 2 |
+ 2 u |
+ 69 |
- 2 u |
- 69 |
| After 2 |
4 u |
+ 253 |
6 u |
+ 207 |
35 x 460= 276
460 - 276 = 184
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 276
=
25100 x 276
= 69
276 - 69 = 207
184 + 69 = 253
If Pamela received another $160 in the end, Pamela and Tina would have the same amount of money.
6 u + 207 = 4 u + 253 + 160
6 u - 4 u = 253 + 160 - 207
2 u = 206
1 u = 206 ÷ 2 = 103
Amount that Tina had at first
= 5 u
= 5 x 103
= $515
Answer(s): $515
