Vanessa had $450 less than Esther. Esther gave
23 of her money to Vanessa. Vanessa then gave 20% of her money to Esther. In the end, Vanessa had $188 more than Esther. How much did Vanessa have at first?
| |
Esther |
Vanessa |
| Comparing Esther and Vanessa at first |
450 more |
|
| Before |
3 u |
+ 450 |
3 u |
|
| Change 1 |
- 2 u |
- 300 |
+ 2 u |
+ 300 |
| After 1 |
1 u |
+ 150 |
5 u |
+ 300 |
| Change 2 |
+ 1 u |
+ 60 |
- 1 u |
- 60 |
| After 2 |
2 u |
+ 210 |
4 u |
+ 240 |
23 x 450= 300
450 - 300 = 150
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 300
=
20100 x 300
= 60
300 - 60 = 240
150 + 60 = 210
If Esther received another $188 in the end, Esther and Vanessa would have the same amount of money.
4 u + 240 = 2 u + 210 + 188
4 u - 2 u = 210 + 188 - 240
2 u = 158
1 u = 158 ÷ 2 = 79
Amount that Vanessa had at first
= 3 u
= 3 x 79
= $237
Answer(s): $237
