How to give background color to a RadioListTile using a RaisedButton?

Question

I have been trying to give background color to a RadioListTile by clicking the RaisedButton and create a function to assign that color to the RadioListTile that contains a certain value, for example value: 2. I'm using StatefulWidget.
The code:

int _radioValue = 0;
int _answer = 2;
void _handleRadioValueChange(int value) {
  setState(() {
    _radioValue = value;
  });
}

Scaffold(
  appBar: AppBar(
    title: Text('Question #1'),
    backgroundColor: Colors.teal,
  ),
  body: ListTileTheme(
    child: ListView(
      children: <Widget>[
        Container(
          padding: EdgeInsets.all(20.0),
          margin: EdgeInsets.all(10.0),
          color: Colors.tealAccent,
          child: Text('Lorem ipsum dolor sit amet, consectetur adipiscing elit. Donec porttitor laoreet volutpat. Suspendisse malesuada ante. ',
            textAlign: TextAlign.center,
          ),
        ),
        RadioListTile(
          title: Text('Option #1'),
          value: 0,
          groupValue: _radioValue,
          onChanged: _handleRadioValueChange,
        ),
        RadioListTile(
          title: Text('Option #2'),
          value: 1,
          groupValue: _radioValue,
          onChanged: _handleRadioValueChange,
        ),
        RadioListTile(
          title: Text('Option #3'),
          value: 2,
          groupValue: _radioValue,
          onChanged: _handleRadioValueChange,
        ),
        RadioListTile(
          title: Text('Option #4'),
          value: 3,
          groupValue: _radioValue,
          onChanged: _handleRadioValueChange,
        ),
        RadioListTile(
          title: Text('Option #5'),
          value: 4,
          groupValue: _radioValue,
          onChanged: _handleRadioValueChange,
        ),
        RaisedButton(
          child: Text('Show Answer'),
          onPressed: (){},
          color: Colors.tealAccent,
          splashColor: Colors.teal,
        ),
      ],
    ),
  ),
);

Answer 1

Will wrapping the RadioListTile with Container and giving the color to Container solve your problem ?