Olivia and Xylia had equal amount of money. Each day, Olivia spent $5 and Xylia spent $9. When Olivia had $104 left, Xylia had
12 as much money left as Olivia. How much money did the two girls have at first?
| |
Olivia |
Xylia |
| Before |
5 u + 104 |
9 u + 52 |
| Change |
- 5 u |
- 9 u |
| After |
$104 |
$52 |
Amount that Xylia had left
=
12 x 104
= $52
The amount that Olivia and Xylia had at first is the same.
9 u + 52 = 5 u + 104
9 u - 5 u = 104 - 52
4 u = 52
1 u = 52 ÷ 4 = 13
Amount that Olivia had at first
= 5 u + 104
= 5 x 13 + 104
= 65 + 104
= $169
Total amount that both girls had at first
= 2 x 169
= $338
Answer(s): $338
