Jade had $420 more than Nora. Jade gave
35 of her money to Nora. Nora then gave 25% of her money to Jade. In the end, Nora had $148 more than Jade. How much did Jade have at first?
| |
Jade |
Nora |
Comparing Jade
and Nora at first |
420 more |
|
| Before |
5 u |
+ 420 |
5 u |
|
| Change 1 |
- 3 u |
- 252 |
+ 3 u |
+ 252 |
| After 1 |
2 u |
+ 168 |
8 u |
+ 252 |
| Change 2 |
+ 2 u |
+ 63 |
- 2 u |
- 63 |
| After 2 |
4 u |
+ 231 |
6 u |
+ 189 |
35 x 420= 252
420 - 252 = 168
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 252
=
25100 x 252
= 63
252 - 63 = 189
168 + 63 = 231
If Jade received another $148 in the end, Jade and Nora would have the same amount of money.
6 u + 189 = 4 u + 231 + 148
6 u - 4 u = 231 + 148 - 189
2 u = 190
1 u = 190 ÷ 2 = 95
Amount that Jade had at first
= 5 u + 420
= 5 x 95 + 420
= 475 + 420
= $895
Answer(s): $895
