Esther and Natalie had equal amount of money. Each day, Esther spent $15 and Natalie spent $20. When Esther had $105 left, Natalie had
27 as much money left as Esther. How much money did the two girls have at first?
| |
Esther |
Natalie |
| Before |
15 u + 105 |
20 u + 30 |
| Change |
- 15 u |
- 20 u |
| After |
$105 |
$30 |
Amount that Natalie had left
=
27 x 105
= $30
The amount that Esther and Natalie had at first is the same.
20 u + 30 = 15 u + 105
20 u - 15 u = 105 - 30
5 u = 75
1 u = 75 ÷ 5 = 15
Amount that Esther had at first
= 15 u + 105
= 15 x 15 + 105
= 225 + 105
= $330
Total amount that both girls had at first
= 2 x 330
= $660
Answer(s): $660
