round 3.1 up to 4

[upp]

hello guys, im creating a search result page that uses pagination, and im trying to figure out how many total pages their are going to be in my links with the page numbers. this is probably something really simple, ive been writing scripts for the last few hours and have a bit of a headache, any help would be appreciated here's the coding and the results i want:

 

<?php

$per_page = 10;
$rows = mysql_query("SELECT COUNT(*) FROM articles WHERE text LIKE $string"); // this will return 31
$pages = $rows / $per_page; // returns 3.1
$total_pages = round($pages); // returns 3, want to round 3.1 up to 4 here

?>

[Pikachu2000]

ceil()