Penelope had $8 less than Betty at first. After Betty and Penelope spent an equal amount of money, Penelope had
35 as much as Betty. How much money did Penelope have left?
| |
Penelope |
Betty |
Difference |
| Before |
1 u |
1 u + $8 |
$8 |
| Change |
- 1 |
- 1 |
|
| After |
3 p |
5 p |
2 p |
Difference in the amounts between Betty and Penelope
= 5 p - 3 p
= 2 p
Since both Betty and Penelope spent an equal amount, the difference in the amounts that Betty and Penelope had at first and in the end remains unchanged.
2 p = 8
1 p = 8 ÷ 2 = 4
Amount that Penelope had left
= 3 p
= 3 x 4
= $12
Answer(s): $12
