Simple html5 voting system

Question

Okay, you mentioned you are a 'beginner' (FYI, I'm not a professional developer either), but I assume you know what forms are and how they work. The below is super-simple, I won't even use AJAX. (Explanation in comments.)

The code is going to be in one file. You mentioned PHP, so I assume you can use that. It's what I am using below:

<?

if (isset($_POST['vote'])) { // Check if there is a vote POSTed to our page
    // Store the vote. I don't know how you did it the previous time, I'm just going to write it to a text file
    $file = fopen("votes.txt", "w");
    fwrite($file, $_POST['vote']);
    fclose($file);
}

?>

<!-- the voting page -->

<HTML>
    <HEAD>
        <title>Vote</title>
    </HEAD>
    <BODY>
        <!-- Create a form to be able to send the vote to the server in the simplest way, but don't display it -->
        <form action="thispage.html" method="post" style="display:none;">
            <!-- I don't know what possible values there are. I'll just take 'foo' and 'bar'. Of course you can add more. -->
            <input type="radio" name="vote" value="foo" />
            <input type="radio" name="vote" value="bar" />
        </form>

        <!-- The images representing the (invisible) radio button -->
        <!-- I use the data-value attribute to store to which radio button this image corresponds -->
        <img src="path/to/foo/image" data-value="foo" />Vote FOO<br />
        <img src="path/to/bar/image" data-value="bar" />Vote BAR<br />

        <!-- Import jQuery for the sake of simplicity. -->
        <script src="http://code.jquery.com/jquery-1.9.1.min.js"></script>
        <!-- The trickiest part. The script. -->
        <script>
            $("img").click(function() {
                 var value = $(this).data('value');        // Get the value
                 $("input[value='" + value + "']").click();// Click the corresponding radio button
                 $("form").submit(); // Submit the form.
            });
        </script>
    </BODY>
</HTML>

NOT TESTED.