Nora had $435 more than Tina. Nora gave
23 of her money to Tina. Tina then gave 20% of her money to Nora. In the end, Tina had $281 more than Nora. How much did Nora have at first?
| |
Nora |
Tina |
Comparing Nora
and Tina at first |
435 more |
|
| Before |
3 u |
+ 435 |
3 u |
|
| Change 1 |
- 2 u |
- 290 |
+ 2 u |
+ 290 |
| After 1 |
1 u |
+ 145 |
5 u |
+ 290 |
| Change 2 |
+ 1 u |
+ 58 |
- 1 u |
- 58 |
| After 2 |
2 u |
+ 203 |
4 u |
+ 232 |
23 x 435= 290
435 - 290 = 145
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 290
=
20100 x 290
= 58
290 - 58 = 232
145 + 58 = 203
If Nora received another $281 in the end, Nora and Tina would have the same amount of money.
4 u + 232 = 2 u + 203 + 281
4 u - 2 u = 203 + 281 - 232
2 u = 252
1 u = 252 ÷ 2 = 126
Amount that Nora had at first
= 3 u + 435
= 3 x 126 + 435
= 378 + 435
= $813
Answer(s): $813
