Natalie and Xuan had equal amount of money. Each day, Natalie spent $15 and Xuan spent $17. When Natalie had $102 left, Xuan had
23 as much money left as Natalie. How much money did the two girls have at first?
| |
Natalie |
Xuan |
| Before |
15 u + 102 |
17 u + 68 |
| Change |
- 15 u |
- 17 u |
| After |
$102 |
$68 |
Amount that Xuan had left
=
23 x 102
= $68
The amount that Natalie and Xuan had at first is the same.
17 u + 68 = 15 u + 102
17 u - 15 u = 102 - 68
2 u = 34
1 u = 34 ÷ 2 = 17
Amount that Natalie had at first
= 15 u + 102
= 15 x 17 + 102
= 255 + 102
= $357
Total amount that both girls had at first
= 2 x 357
= $714
Answer(s): $714
