Sabrina and Zoe had equal amount of money. Each day, Sabrina spent $5 and Zoe spent $10. When Sabrina had $90 left, Zoe had
12 as much money left as Sabrina. How much money did the two girls have at first?
| |
Sabrina |
Zoe |
| Before |
5 u + 90 |
10 u + 45 |
| Change |
- 5 u |
- 10 u |
| After |
$90 |
$45 |
Amount that Zoe had left
=
12 x 90
= $45
The amount that Sabrina and Zoe had at first is the same.
10 u + 45 = 5 u + 90
10 u - 5 u = 90 - 45
5 u = 45
1 u = 45 ÷ 5 = 9
Amount that Sabrina had at first
= 5 u + 90
= 5 x 9 + 90
= 45 + 90
= $135
Total amount that both girls had at first
= 2 x 135
= $270
Answer(s): $270
