Gem and Penelope had equal amount of money. Each day, Gem spent $5 and Penelope spent $8. When Gem had $120 left, Penelope had
12 as much money left as Gem. How much money did the two girls have at first?
| |
Gem |
Penelope |
| Before |
5 u + 120 |
8 u + 60 |
| Change |
- 5 u |
- 8 u |
| After |
$120 |
$60 |
Amount that Penelope had left
=
12 x 120
= $60
The amount that Gem and Penelope had at first is the same.
8 u + 60 = 5 u + 120
8 u - 5 u = 120 - 60
3 u = 60
1 u = 60 ÷ 3 = 20
Amount that Gem had at first
= 5 u + 120
= 5 x 20 + 120
= 100 + 120
= $220
Total amount that both girls had at first
= 2 x 220
= $440
Answer(s): $440
