Marion had $440 less than Jade. Jade gave
35 of her money to Marion. Marion then gave 25% of her money to Jade. In the end, Jade had $132 less than Marion. How much did Marion have at first?
| |
Jade |
Marion |
| Comparing Jade and Marion at first |
440 more |
|
| Before |
5 u |
+ 440 |
5 u |
|
| Change 1 |
- 3 u |
- 264 |
+ 3 u |
+ 264 |
| After 1 |
2 u |
+ 176 |
8 u |
+ 264 |
| Change 2 |
+ 2 u |
+ 66 |
- 2 u |
- 66 |
| After 2 |
4 u |
+ 242 |
6 u |
+ 198 |
35 x 440= 264
440 - 264 = 176
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 264
=
25100 x 264
= 66
264 - 66 = 198
176 + 66 = 242
If Jade received another $132 in the end, Jade and Marion would have the same amount of money.
6 u + 198 = 4 u + 242 + 132
6 u - 4 u = 242 + 132 - 198
2 u = 176
1 u = 176 ÷ 2 = 88
Amount that Marion had at first
= 5 u
= 5 x 88
= $440
Answer(s): $440
