Olivia had
35 as much money as Wendy. Olivia received another $30 from her mother and Wendy spent $8 on some pens. In the end, Olivia and Wendy had an equal amount of money. How much money did the girls have altogether in the end?
|
Olivia |
Wendy |
Total |
Before |
3 u |
5 u |
|
Change |
+ $30 |
- $8 |
|
After |
3 u + $30 |
5 u - $8 |
8 u + $22 |
Amount of money Olivia and Wendy has is the same in the end.
5 u - 8 = 3 u + 30
5 u - 3 u = 30 + 8
2 u = 38
1 u = 38 ÷ 2 = 19
Amount the girls have in the end
= 3 u + 30 + 5 u - 8
= 8 u + 22
= 8 x 19 + 22
= 152 + 22
= $174
Answer(s): $174