Penelope and Kathy had equal amount of money. Each day, Penelope spent $13 and Kathy spent $23. When Penelope had $120 left, Kathy had
512 as much money left as Penelope. How much money did the two girls have at first?
| |
Penelope |
Kathy |
| Before |
13 u + 120 |
23 u + 50 |
| Change |
- 13 u |
- 23 u |
| After |
$120 |
$50 |
Amount that Kathy had left
=
512 x 120
= $50
The amount that Penelope and Kathy had at first is the same.
23 u + 50 = 13 u + 120
23 u - 13 u = 120 - 50
10 u = 70
1 u = 70 ÷ 10 = 7
Amount that Penelope had at first
= 13 u + 120
= 13 x 7 + 120
= 91 + 120
= $211
Total amount that both girls had at first
= 2 x 211
= $422
Answer(s): $422
