document.write( "Question 370930: In a laboratory, there were just enough microscopes, test tubes, and calculators so that every 3 students had to share a microscope, every 4 students had to share a test tube, and every 5 students had to share a calculator. If the sum of the number of microscopes, test tubes, and calculators used by the class was 94, how many students were in the class? \n" ); document.write( "
Algebra.Com's Answer #264304 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a laboratory, there were just enough microscopes, test tubes, and calculators so that every 3 students had to share a microscope, every 4 students had to share a test tube, and every 5 students had to share a calculator. If the sum of the number of microscopes, test tubes, and calculators used by the class was 94, how many students were in the class? \n" ); document.write( "----- \n" ); document.write( "# of microscopes = x/3 \n" ); document.write( "# of test tubes = x/4 \n" ); document.write( "# of calculators = x/5 \n" ); document.write( "Solve: \n" ); document.write( "x/3 + x/4 + x/5 = 94 \n" ); document.write( "-- \n" ); document.write( "Multiply thru by 60 to get: \n" ); document.write( "20x + 15x + 12x = 60*94 \n" ); document.write( "--- \n" ); document.write( "47x = 60*94 \n" ); document.write( "x = 60*2 \n" ); document.write( "x = 120 (# of students) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 120 students \n" ); document.write( " |