Penelope and Tina had equal amount of money. Each day, Penelope spent $3 and Tina spent $5. When Penelope had $80 left, Tina had
25 as much money left as Penelope. How much money did the two girls have at first?
| |
Penelope |
Tina |
| Before |
3 u + 80 |
5 u + 32 |
| Change |
- 3 u |
- 5 u |
| After |
$80 |
$32 |
Amount that Tina had left
=
25 x 80
= $32
The amount that Penelope and Tina had at first is the same.
5 u + 32 = 3 u + 80
5 u - 3 u = 80 - 32
2 u = 48
1 u = 48 ÷ 2 = 24
Amount that Penelope had at first
= 3 u + 80
= 3 x 24 + 80
= 72 + 80
= $152
Total amount that both girls had at first
= 2 x 152
= $304
Answer(s): $304
