document.write( "Question 155896: 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( "
Algebra.Com's Answer #114849 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "\"Rafael extinguished 25% fewer fires than Louis in February.\" \n" ); document.write( "R = .75L \n" ); document.write( ": \n" ); document.write( "\" William extinguished 50% more fires than Rafael.\" \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 = .80(R+W) \n" ); document.write( ": \n" ); document.write( "\" If Louis extinguished 6 fires per week,\" \n" ); document.write( "L = 4*6 = 24 fires in one month \n" ); document.write( "; \n" ); document.write( " how many fires did all four men extinguish during the entire month? \n" ); document.write( ": \n" ); document.write( "Using the 1st equation, find R \n" ); document.write( "R = .75(24) \n" ); document.write( "R = 18 fires \n" ); document.write( ": \n" ); document.write( "Using the 2nd equation: \n" ); document.write( "W = 1.5(18) \n" ); document.write( "W = 27 fires \n" ); document.write( ": \n" ); document.write( "Using the 3rd equation; \n" ); document.write( "A = .8(18+27) \n" ); document.write( "A = .8(45) \n" ); document.write( "A = 36 fires \n" ); document.write( ": \n" ); document.write( "Summing up L + R + W + A \n" ); document.write( "24 + 18 + 27 + 36 = 105 fires \n" ); document.write( " |