Vanessa had $120 more than Joelle. Vanessa gave
23 of her money to Joelle. Joelle then gave 20% of her money to Vanessa. In the end, Joelle had $180 more than Vanessa. How much did Vanessa have at first?
| |
Vanessa |
Joelle |
Comparing Vanessa
and Joelle at first |
120 more |
|
| Before |
3 u |
+ 120 |
3 u |
|
| Change 1 |
- 2 u |
- 80 |
+ 2 u |
+ 80 |
| After 1 |
1 u |
+ 40 |
5 u |
+ 80 |
| Change 2 |
+ 1 u |
+ 16 |
- 1 u |
- 16 |
| After 2 |
2 u |
+ 56 |
4 u |
+ 64 |
23 x 120= 80
120 - 80 = 40
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 80
=
20100 x 80
= 16
80 - 16 = 64
40 + 16 = 56
If Vanessa received another $180 in the end, Vanessa and Joelle would have the same amount of money.
4 u + 64 = 2 u + 56 + 180
4 u - 2 u = 56 + 180 - 64
2 u = 172
1 u = 172 ÷ 2 = 86
Amount that Vanessa had at first
= 3 u + 120
= 3 x 86 + 120
= 258 + 120
= $378
Answer(s): $378
