document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199462>Question 1199462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A machine requires 6 hours to make a unit of Product A and 5 hours to make a unit of Product B. Last month the machine operated for 481 hours, producing a total of 89 units. How many units of Product A were produced? </SPAN>\n" );
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document.write( "(Corrected -- in my original response I had the two products switched....)<br><BR>\n" );
document.write( "A quick mental solution, if formal algebra is not required and your mental math is good....<br><BR>\n" );
document.write( "If all 89 units had been Product B, the total machine time would have been 89*5 = 445 hours.<BR>\n" );
document.write( "The actual machine time was 81 hours, which is 36 hours more than that.<BR>\n" );
document.write( "Since each Product A requires 1 more hour of machine time than each Product B, the number of Product A produced was 36/1 = 36<br><BR>\n" );
document.write( "ANSWER: 36 units of Product A, so 89-36 = 53 units of Product B<br><BR>\n" );
document.write( "CHECK: 53(5)+36(6) = 265+216 = 481<br><BR>\n" );
document.write( "This quick informal method is applicable to a large number of similar problems, like....<br><BR>\n" );
document.write( "75 bicycles and tricycles in a cycle shop with a total of 173 wheels; how many of each are there<br><BR>\n" );
document.write( "63 cows and chickens in a barnyard with a total of 160 legs; how many of each are there<br><BR>\n" );
document.write( "etc....<br><BR>\n" );
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