diff --git a/tests/GdSystemTest.php b/tests/GdSystemTest.php
index f36ea035..4076c36f 100644
--- a/tests/GdSystemTest.php
+++ b/tests/GdSystemTest.php
@@ -1051,14 +1051,14 @@ class GdSystemTest extends PHPUnit_Framework_TestCase
     {
        $img = $this->manager()->make('tests/images/trim.png');
        $img->limitColors(4);
-       $this->assertEquals(imagecolorstotal($img->getCore()), 5);
+       $this->assertLessThanOrEqual(5, imagecolorstotal($img->getCore()));
     }
 
     public function testLimitColorsKeepTransparency()
     {
         $img = $this->manager()->make('tests/images/star.png');
         $img->limitColors(16);
-        $this->assertEquals(imagecolorstotal($img->getCore()), 16);
+        $this->assertLessThanOrEqual(17, imagecolorstotal($img->getCore()));
         $this->assertTransparentPosition($img, 0, 0);
         $this->assertColorAtPosition('#0c02b4', $img, 6, 12);
         $this->assertColorAtPosition('#fcbe04', $img, 22, 24);
@@ -1068,7 +1068,7 @@ class GdSystemTest extends PHPUnit_Framework_TestCase
     {
         $img = $this->manager()->make('tests/images/star.png');
         $img->limitColors(64, '#00ff00');
-        $this->assertEquals(imagecolorstotal($img->getCore()), 65);
+        $this->assertLessThanOrEqual(65, imagecolorstotal($img->getCore()));
         $this->assertTransparentPosition($img, 0, 0);
         $this->assertColorAtPosition('#04f204', $img, 12, 10);
         $this->assertColorAtPosition('#06fe04', $img, 22, 17);
diff --git a/tests/ImagickSystemTest.php b/tests/ImagickSystemTest.php
index 716b85f2..5edba360 100644
--- a/tests/ImagickSystemTest.php
+++ b/tests/ImagickSystemTest.php
@@ -1025,14 +1025,14 @@ class ImagickSystemTest extends PHPUnit_Framework_TestCase
     {
        $img = $this->manager()->make('tests/images/trim.png');
        $img->limitColors(4);
-       $this->assertEquals($img->getCore()->getImageColors(), 4);
+       $this->assertLessThanOrEqual(4, $img->getCore()->getImageColors());
     }
 
     public function testLimitColorsKeepTransparency()
     {
         $img = $this->manager()->make('tests/images/star.png');
         $img->limitColors(16);
-        $this->assertEquals($img->getCore()->getImageColors(), 15);
+        $this->assertLessThanOrEqual(16, $img->getCore()->getImageColors());
         $this->assertTransparentPosition($img, 0, 0);
         $this->assertColorAtPosition('#680098', $img, 6, 12);
         $this->assertColorAtPosition('#c2596a', $img, 22, 24);
@@ -1042,7 +1042,7 @@ class ImagickSystemTest extends PHPUnit_Framework_TestCase
     {
         $img = $this->manager()->make('tests/images/star.png');
         $img->limitColors(32, '#00ff00');
-        $this->assertEquals($img->getCore()->getImageColors(), 25);
+        $this->assertLessThanOrEqual(32, $img->getCore()->getImageColors());
         $this->assertTransparentPosition($img, 0, 0);
         $this->assertColorAtPosition('#00ff00', $img, 12, 10);
         $this->assertColorAtPosition('#00ff00', $img, 22, 17);