Jade and Penelope had equal amount of money. Each day, Jade spent $11 and Penelope spent $13. When Jade had $120 left, Penelope had
12 as much money left as Jade. How much money did the two girls have at first?
| |
Jade |
Penelope |
| Before |
11 u + 120 |
13 u + 60 |
| Change |
- 11 u |
- 13 u |
| After |
$120 |
$60 |
Amount that Penelope had left
=
12 x 120
= $60
The amount that Jade and Penelope had at first is the same.
13 u + 60 = 11 u + 120
13 u - 11 u = 120 - 60
2 u = 60
1 u = 60 ÷ 2 = 30
Amount that Jade had at first
= 11 u + 120
= 11 x 30 + 120
= 330 + 120
= $450
Total amount that both girls had at first
= 2 x 450
= $900
Answer(s): $900
