Answer:
The radio costs [tex]170[/tex] dollars
Step-by-step explanation:
Since in half month he gets half of his money we will look for one half of his money,
Let r stand for the radio
[tex]^1/_2\cdot250+r[/tex]
Do the equation and we get [tex]125[/tex] dollars and [tex]^1/_2 r[/tex]
Now here is our equation
[tex]40+r=125 + \frac{1}{2} r[/tex]
Subtract 40 from both sides of the equation
[tex]r=85 +\frac{1}{2}r[/tex]
Subtract [tex]\frac{1}{2} r[/tex] from both sides
[tex]\frac{1}{2}r=85[/tex]
Multiply both sides by [tex]2[/tex]
[tex]r=170[/tex]
The radio costs [tex]170[/tex] dollars
