Kathy and Cindy had equal amount of money. Each day, Kathy spent $9 and Cindy spent $11. When Kathy had $120 left, Cindy had
512 as much money left as Kathy. How much money did the two girls have at first?
| |
Kathy |
Cindy |
| Before |
9 u + 120 |
11 u + 50 |
| Change |
- 9 u |
- 11 u |
| After |
$120 |
$50 |
Amount that Cindy had left
=
512 x 120
= $50
The amount that Kathy and Cindy had at first is the same.
11 u + 50 = 9 u + 120
11 u - 9 u = 120 - 50
2 u = 70
1 u = 70 ÷ 2 = 35
Amount that Kathy had at first
= 9 u + 120
= 9 x 35 + 120
= 315 + 120
= $435
Total amount that both girls had at first
= 2 x 435
= $870
Answer(s): $870
