Lucy had $10 more than Penelope at first. After Lucy and Penelope spent an equal amount of money, Penelope had
57 as much as Lucy. How much money did Lucy have left?
| |
Lucy |
Penelope |
Difference |
| Before |
1 u + $10 |
1 u |
$10 |
| Change |
- 1 |
- 1 |
|
| After |
7 p |
5 p |
2 p |
Difference in the amounts between Lucy and Penelope
= 7 p - 5 p
= 2 p
Since both Lucy and Penelope spent an equal amount, the difference in the amounts that Lucy and Penelope had at first and in the end remains unchanged.
2 p = 10
1 p = 10 ÷ 2 = 5
Amount that Lucy had left
= 7 p
= 7 x 5
= $35
Answer(s): $35
