Nora had $480 more than Hazel. Nora gave
35 of her money to Hazel. Hazel then gave 25% of her money to Nora. In the end, Nora had $184 less than Hazel. How much did Nora have at first?
| |
Nora |
Hazel |
| Comparing Nora and Hazel at first |
480 more |
|
| Before |
5 u |
+ 480 |
5 u |
|
| Change 1 |
- 3 u |
- 288 |
+ 3 u |
+ 288 |
| After 1 |
2 u |
+ 192 |
8 u |
+ 288 |
| Change 2 |
+ 2 u |
+ 72 |
- 2 u |
- 72 |
| After 2 |
4 u |
+ 264 |
6 u |
+ 216 |
35 x 480= 288
480 - 288 = 192
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 288
=
25100 x 288
= 72
288 - 72 = 216
192 + 72 = 264
If Nora received another $184 in the end, Nora and Hazel would have the same amount of money.
6 u + 216 = 4 u + 264 + 184
6 u - 4 u = 264 + 184 - 216
2 u = 232
1 u = 232 ÷ 2 = 116
Amount that Nora had at first
= 5 u + 480
= 5 x 116 + 480
= 580 + 480
= $1060
Answer(s): $1060
