Xuan and Natalie had equal amount of money. Each day, Xuan spent $3 and Natalie spent $5. When Xuan had $105 left, Natalie had
57 as much money left as Xuan. How much money did the two girls have at first?
| |
Xuan |
Natalie |
| Before |
3 u + 105 |
5 u + 75 |
| Change |
- 3 u |
- 5 u |
| After |
$105 |
$75 |
Amount that Natalie had left
=
57 x 105
= $75
The amount that Xuan and Natalie had at first is the same.
5 u + 75 = 3 u + 105
5 u - 3 u = 105 - 75
2 u = 30
1 u = 30 ÷ 2 = 15
Amount that Xuan had at first
= 3 u + 105
= 3 x 15 + 105
= 45 + 105
= $150
Total amount that both girls had at first
= 2 x 150
= $300
Answer(s): $300
