Vanessa had $420 less than Dana. Dana gave
35 of her money to Vanessa. Vanessa then gave 25% of her money to Dana. In the end, Dana had $214 less than Vanessa. How much did Vanessa have at first?
| |
Dana |
Vanessa |
| Comparing Dana and Vanessa 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 Dana received another $214 in the end, Dana and Vanessa would have the same amount of money.
6 u + 189 = 4 u + 231 + 214
6 u - 4 u = 231 + 214 - 189
2 u = 256
1 u = 256 ÷ 2 = 128
Amount that Vanessa had at first
= 5 u
= 5 x 128
= $640
Answer(s): $640
