Penelope and Cathy had equal amount of money. Each day, Penelope spent $13 and Cathy spent $18. When Penelope had $119 left, Cathy had
27 as much money left as Penelope. How much money did the two girls have at first?
| |
Penelope |
Cathy |
| Before |
13 u + 119 |
18 u + 34 |
| Change |
- 13 u |
- 18 u |
| After |
$119 |
$34 |
Amount that Cathy had left
=
27 x 119
= $34
The amount that Penelope and Cathy had at first is the same.
18 u + 34 = 13 u + 119
18 u - 13 u = 119 - 34
5 u = 85
1 u = 85 ÷ 5 = 17
Amount that Penelope had at first
= 13 u + 119
= 13 x 17 + 119
= 221 + 119
= $340
Total amount that both girls had at first
= 2 x 340
= $680
Answer(s): $680
