Zoe had
35 as much money as Penelope. Zoe received another $41 from her uncle and Penelope spent $11 on some pencils. In the end, Zoe and Penelope had an equal amount of money. How much money did the girls have altogether in the end?
|
Zoe |
Penelope |
Total |
Before |
3 u |
5 u |
|
Change |
+ $41 |
- $11 |
|
After |
3 u + $41 |
5 u - $11 |
8 u + $30 |
Amount of money Zoe and Penelope has is the same in the end.
5 u - 11 = 3 u + 41
5 u - 3 u = 41 + 11
2 u = 52
1 u = 52 ÷ 2 = 26
Amount the girls have in the end
= 3 u + 41 + 5 u - 11
= 8 u + 30
= 8 x 26 + 30
= 208 + 30
= $238
Answer(s): $238