document.write( "Question 370891: an office has two copiers. One makes 8 copies per minute and the other makes 10 copies per minute. If both are used at the same time to make a total of 675 copies, how many copies are made by each machine? I have the answers but I need to come up with an equation and don't know how to do that. Here are my answers: 300 copies and 375 copies. \n" ); document.write( "
Algebra.Com's Answer #264308 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=number of minutes required for both machines to make 675 copies \n" ); document.write( "Then 8x+10x=675 \n" ); document.write( "18x=675 \n" ); document.write( "x=37.5 min time that each machine worked in making 675 copies \n" ); document.write( "Soooo \n" ); document.write( "8*37.5=300 copies for machine that makes 8 copies/min \n" ); document.write( "and \n" ); document.write( "10*37.5=375 copies for machine that makes 10 copies/min\r \n" ); document.write( "\n" ); document.write( "ANOTHER WAY------ \n" ); document.write( "Let x=# copies made by first machine (8 copies/min) \n" ); document.write( "And let y=# copies made by second machine (10 copies/min)\r \n" ); document.write( "\n" ); document.write( "Soooo \n" ); document.write( "x+y=675---eq1 \n" ); document.write( "and \n" ); document.write( "x=(8/10)y-----eq2 \n" ); document.write( "substitute (8/10)y for x in eq1 \n" ); document.write( "(8/10)y+y=675 \n" ); document.write( "(18/10)y=675 \n" ); document.write( "18y=6750 \n" ); document.write( "y=375-----# copies made by 2nd machine \n" ); document.write( "from eq1 \n" ); document.write( "x+375=675 \n" ); document.write( "x=675-375 \n" ); document.write( "x=300 # copies made by 1st machine\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |