document.write( "Question 1141630: Harold phone 36 apps, 4/9 of which are games. He downloads more games( and no other apps) so that 2/3 of the apps on his phone are now now games. How many games did he download? \n" ); document.write( "
Algebra.Com's Answer #762204 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "1)  \"4%2F9\" of 36 apps is  16 apps.\r\n" );
document.write( "\r\n" );
document.write( "    So, Harold had 16 games in his phone initially.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2)  The new proportion is  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        \"%2816%2Bx%29%2F%2836%2Bx%29\" = \"2%2F3\",\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    which implies  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        3*(16+x) = 2*(36+x)\r\n" );
document.write( "\r\n" );
document.write( "        48 + 3x = 72 + 2x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        3x - 2x = 72 - 48\r\n" );
document.write( "\r\n" );
document.write( "         x      = 24.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Hi downloaded 24 games.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );