document.write( "Question 1031791: One machine took 90 minutes while another took 40 minutes
\n" ); document.write( "to produce the same number of similar can drinks.
\n" ); document.write( "The faster machine produced 40 more can drinks per minute
\n" ); document.write( "than the slower one.
\n" ); document.write( "If both machines were switched on at the same time, what
\n" ); document.write( "was the total number of can drinks produced after 6 hours.
\n" ); document.write( "

Algebra.Com's Answer #646465 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
One machine took 90 minutes while another took 40 minutes
\n" ); document.write( "to produce the same number of similar can drinks.
\n" ); document.write( "
\r\n" );
document.write( "The drink-making rate of the first machine is x drinks per \r\n" );
document.write( "90 minutes or \"%28x_drinks%29%2F%2890_minutes%29\" or \"x%2F90\"\"drinks%2Fminute\".\r\n" );
document.write( "\r\n" );
document.write( "The drink-making rate of the second machine is x drinks per \r\n" );
document.write( "40 minutes or \"%28x_drinks%29%2F%2840_minutes%29\" or \"x%2F40\"\"drinks%2Fminute\".\r\n" );
document.write( "

\n" ); document.write( "The faster machine produced 40 more can drinks per minute
\n" ); document.write( "than the slower one.
\n" ); document.write( "
\r\n" );
document.write( "\"x%2F40\"\"drinks%2Fminute\"\"%22%22=%22%22\"\"x%2F90\"\"drinks%2Fminute\"\"%22%22%2B%22%22\"\"40\"\"%28drinks%29%2F%28minute%29%7D%7D%0D%0A%0D%0A%7B%7B%7Bx%2F40=x%2F90%2B40\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by LCD = 360\r\n" );
document.write( " \r\n" );
document.write( "\"9x=4x%2B14400\"\r\n" );
document.write( "\r\n" );
document.write( "\"5x=14400\"\r\n" );
document.write( "\r\n" );
document.write( "\"x=2880\"\r\n" );
document.write( "\r\n" );
document.write( "So the slower machine's drink-making rate is\r\n" );
document.write( "\r\n" );
document.write( "\"x%2F90\"\"drinks%2Fminute\" =\r\n" );
document.write( "\"2880%2F90\"\"drinks%2Fminute\" =\r\n" );
document.write( "\"32\"\"drinks%2Fminute\"\r\n" );
document.write( "\r\n" );
document.write( "And the faster machine's drink-making rate is\r\n" );
document.write( "\r\n" );
document.write( "\"x%2F40\"\"drinks%2Fminute\" =\r\n" );
document.write( "\"2880%2F40\"\"drinks%2Fminute\" =\r\n" );
document.write( "\"72\"\"drinks%2Fminute\"\r\n" );
document.write( "

\n" ); document.write( "If both machines were switched on at the same time,
\n" ); document.write( "what was the total number of can drinks produced after 6 hours
\n" ); document.write( "
\r\n" );
document.write( "6 hours is 6*60 or 360 minutes.\r\n" );
document.write( "\r\n" );
document.write( "In 360 minutes the slower machine will produce 32*360 or 11520 drinks.\r\n" );
document.write( "In 360 minutes the faster machine will produce 72*360 or 25920 drinks.\r\n" );
document.write( "\r\n" );
document.write( "11520 drinks + 25920 drinks = 37440 drinks.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );