Jean and Olivia had equal amount of money. Each day, Jean spent $18 and Olivia spent $23. When Jean had $100 left, Olivia had
14 as much money left as Jean. How much money did the two girls have at first?
| |
Jean |
Olivia |
| Before |
18 u + 100 |
23 u + 25 |
| Change |
- 18 u |
- 23 u |
| After |
$100 |
$25 |
Amount that Olivia had left
=
14 x 100
= $25
The amount that Jean and Olivia had at first is the same.
23 u + 25 = 18 u + 100
23 u - 18 u = 100 - 25
5 u = 75
1 u = 75 ÷ 5 = 15
Amount that Jean had at first
= 18 u + 100
= 18 x 15 + 100
= 270 + 100
= $370
Total amount that both girls had at first
= 2 x 370
= $740
Answer(s): $740
