Opal had
35 as much money as Lucy. Opal received another $43 from her aunt and Lucy received $2 from her mother. In the end, Opal had $9 more than Lucy. How much did the girls have altogether in the end?
|
Opal |
Lucy |
Before |
3 u |
5 u |
Change |
+ 43 |
+ 2 |
After |
3 u + 43 |
5 u + 2 |
If Lucy received another $9 in the end, she would have the same amount of money as Opal.
5 u + 2 + 9 = 3 u + 43
5 u + 11 = 3 u + 43
5 u - 3 u = 43 - 11
2 u = 32
1 u = 32 ÷ 2 = 16
Amount that the girls had in the end
= 3 u + 43 + 5 u + 2
= 3 u + 5 u + 43 + 2
= 8 u + 45
= 8 x 16 + 45
= $173
Answer(s): $173