Shannon had
35 as much money as Rachel. Shannon received another $42 from her mother and Rachel received $6 from her aunt. In the end, Shannon had $4 more than Rachel. How much did the girls have altogether in the end?
|
Shannon |
Rachel |
Before |
3 u |
5 u |
Change |
+ 42 |
+ 6 |
After |
3 u + 42 |
5 u + 6 |
If Rachel received another $4 in the end, she would have the same amount of money as Shannon.
5 u + 6 + 4 = 3 u + 42
5 u + 10 = 3 u + 42
5 u - 3 u = 42 - 10
2 u = 32
1 u = 32 ÷ 2 = 16
Amount that the girls had in the end
= 3 u + 42 + 5 u + 6
= 3 u + 5 u + 42 + 6
= 8 u + 48
= 8 x 16 + 48
= $176
Answer(s): $176