document.write( "Question 152102:  Four firefighters were discussing the number of fires they extinguished for the month of February. Rafael extinguished 25% fewer fires than Louis in February. William extinguished 50% more fires than Rafael. Albert extinguished 20% fewer fires than Rafael and William combined. If Louis extinguished 6 fires per week, how many fires did all four men extinguish during the entire month?
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| Algebra.Com's Answer #111829 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! Four firefighters were discussing the number of fires they extinguished for the month of February. Rafael extinguished 25% fewer fires than Louis in February. William extinguished 50% more fires than Rafael. Albert extinguished 20% fewer fires than Rafael and William combined. If Louis extinguished 6 fires per week, how many fires did all four men extinguish during the entire month? \n" ); document.write( ": \n" ); document.write( "Write an equation for each statmente (using decimals for %); simplify equations: \n" ); document.write( ": \n" ); document.write( "\" Rafael extinguished 25% fewer fires than Louis in February.\" \n" ); document.write( "R = L - .25L \n" ); document.write( "R = .75L \n" ); document.write( ": \n" ); document.write( "\" William extinguished 50% more fires than Rafael.\" \n" ); document.write( "W = R + .5R \n" ); document.write( "W = 1.5R \n" ); document.write( ": \n" ); document.write( "\"Albert extinguished 20% fewer fires than Rafael and William combined.\" \n" ); document.write( "A = (R+W) - .2(R+W) \n" ); document.write( "A = .8(R+W) \n" ); document.write( ": \n" ); document.write( "\"If Louis extinguished 6 fires per week,\" \n" ); document.write( "L = 4 * 6 \n" ); document.write( "L = 24 fires per month \n" ); document.write( ": \n" ); document.write( " how many fires did all four men extinguish during the entire month? \n" ); document.write( "Substitute 24 for L \n" ); document.write( "R = .75L \n" ); document.write( "R = .75(24) \n" ); document.write( "R = 18 fires for Raphael \n" ); document.write( "and \n" ); document.write( "W = 1.5R \n" ); document.write( "Substitute 18 for R \n" ); document.write( "W = 1.5 * 18 \n" ); document.write( "W = 27 fires for William \n" ); document.write( "and \n" ); document.write( "A = .8(R+W) \n" ); document.write( "A = .8(18 + 27) \n" ); document.write( "A = .8(45) \n" ); document.write( "A = 36 fires for Albert \n" ); document.write( ": \n" ); document.write( "Four men total: 24 + 18 + 27 + 36 = 105 fires\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |