Olivia and Emily had equal amount of money. Each day, Olivia spent $6 and Emily spent $9. When Olivia had $117 left, Emily had
23 as much money left as Olivia. How much money did the two girls have at first?
| |
Olivia |
Emily |
| Before |
6 u + 117 |
9 u + 78 |
| Change |
- 6 u |
- 9 u |
| After |
$117 |
$78 |
Amount that Emily had left
=
23 x 117
= $78
The amount that Olivia and Emily had at first is the same.
9 u + 78 = 6 u + 117
9 u - 6 u = 117 - 78
3 u = 39
1 u = 39 ÷ 3 = 13
Amount that Olivia had at first
= 6 u + 117
= 6 x 13 + 117
= 78 + 117
= $195
Total amount that both girls had at first
= 2 x 195
= $390
Answer(s): $390
