Fiona and Vanessa had equal amount of money. Each day, Fiona spent $3 and Vanessa spent $7. When Fiona had $102 left, Vanessa had
13 as much money left as Fiona. How much money did the two girls have at first?
| |
Fiona |
Vanessa |
| Before |
3 u + 102 |
7 u + 34 |
| Change |
- 3 u |
- 7 u |
| After |
$102 |
$34 |
Amount that Vanessa had left
=
13 x 102
= $34
The amount that Fiona and Vanessa had at first is the same.
7 u + 34 = 3 u + 102
7 u - 3 u = 102 - 34
4 u = 68
1 u = 68 ÷ 4 = 17
Amount that Fiona had at first
= 3 u + 102
= 3 x 17 + 102
= 51 + 102
= $153
Total amount that both girls had at first
= 2 x 153
= $306
Answer(s): $306
