Vanessa had $150 more than Gillian. Vanessa gave
23 of her money to Gillian. Gillian then gave 20% of her money to Vanessa. In the end, Vanessa had $164 less than Gillian. How much did Vanessa have at first?
| |
Vanessa |
Gillian |
| Comparing Vanessa and Gillian at first |
150 more |
|
| Before |
3 u |
+ 150 |
3 u |
|
| Change 1 |
- 2 u |
- 100 |
+ 2 u |
+ 100 |
| After 1 |
1 u |
+ 50 |
5 u |
+ 100 |
| Change 2 |
+ 1 u |
+ 20 |
- 1 u |
- 20 |
| After 2 |
2 u |
+ 70 |
4 u |
+ 80 |
23 x 150= 100
150 - 100 = 50
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 100
=
20100 x 100
= 20
100 - 20 = 80
50 + 20 = 70
If Vanessa received another $164 in the end, Vanessa and Gillian would have the same amount of money.
4 u + 80 = 2 u + 70 + 164
4 u - 2 u = 70 + 164 - 80
2 u = 154
1 u = 154 ÷ 2 = 77
Amount that Vanessa had at first
= 3 u + 150
= 3 x 77 + 150
= 231 + 150
= $381
Answer(s): $381
