Penelope had six times as much money as Linda. After Penelope spent $14 and Linda spent $4, Penelope had $20 more than Linda. How much did Penelope have in the end?
| |
Penelope |
Linda |
| Before |
6 u |
1 u |
| Change |
- $14 |
- $4 |
| After |
6 u - $14 |
1 u - $4 |
Comparing Penelope
and Linda
in the end |
$20 more |
|
If Linda was given another $20, the amounts that Penelope and Linda each had in the end would be the same.
6 u - 14 = 1 u - 4 + 20
6 u - 1 u = 14 + 16
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Penelope had in the end
= 6 u - 14
= 6 x 6 - 14
= 36 - 14
= $22
Answer(s): $22
