Well, to me, your hidden inputs are useless : You say that for input text one is a corresponding hidden field id with a defined value. Then you just have to name your input correctly and you know which id or something is correspondant.
If you want to use jQuery (javascript) as you said, then just do something like this :
<form>
<input type="text" name="qty1" id="qty1" />
<input type="text" name="qty2" id="qty2" />
<input type="text" name="qty3" id="qty3" />
<input type="text" name="qty4" id="qty4" />
<input type="submit" name='submit' id="submitButton" value="submit"/>
</form>
<script>
$('document').on('click','#submitButton',function(event){
event.preventDefault();
//this prevents the click to submit, as you want to get values by javascript... remove this if you post it with php
console.log('QTY1 : '+$('#qty1').val()+' - QTY2 : '+$('#qty2').val()+' - QTY3 : '+$('#qty3').val()+' - QTY 4 : '+$('#qty4').val());
//This is with jQuery, javascript would look like addEventListeneer, and get values like document.getElementById('id').value;
//then, ajax something if you really want to post your form through javascript, but this is not a good solution...
});
</script>
Other solution, better to me, would be just to use php and post directly your form...
<?php
if(isset($_POST['submit'])){
//then, user has clicked on submit button
//CONSIDERED THAT YOU HAVE CHECKED IF THE FIELDS ARE NOT EMPTY
$qty1 = $_POST['qty1'];
$qty2 = $_POST['qty2'];
$qty3 = $_POST['qty3'];
$qty4 = $_POST['qty4'];
//do your stuff with the posted values...
}else{
echo '
<form method="POST" action="yourPage.php">
<input type="text" name="qty1" id="qty1" />
<input type="text" name="qty2" id="qty2" />
<input type="text" name="qty3" id="qty3" />
<input type="text" name="qty4" id="qty4" />
<input type="submit" name="submit" id="submitButton" value="submit"/>
</form>
';
}
?>
Hope it helps