Elyse and Natalie had equal amount of money. Each day, Elyse spent $17 and Natalie spent $23. When Elyse had $100 left, Natalie had
25 as much money left as Elyse. How much money did the two girls have at first?
| |
Elyse |
Natalie |
| Before |
17 u + 100 |
23 u + 40 |
| Change |
- 17 u |
- 23 u |
| After |
$100 |
$40 |
Amount that Natalie had left
=
25 x 100
= $40
The amount that Elyse and Natalie had at first is the same.
23 u + 40 = 17 u + 100
23 u - 17 u = 100 - 40
6 u = 60
1 u = 60 ÷ 6 = 10
Amount that Elyse had at first
= 17 u + 100
= 17 x 10 + 100
= 170 + 100
= $270
Total amount that both girls had at first
= 2 x 270
= $540
Answer(s): $540
