document.write( "Question 122252: There were 10 more reds than 8 times the number of blues. Also the number of red was 5 less than 11 times the number of blues. How many of each were there? \n" ); document.write( "
Algebra.Com's Answer #89769 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statemen: \n" ); document.write( ": \n" ); document.write( "\"There were 10 more reds than 8 times the number of blues.\" \n" ); document.write( "R = 8B + 10 \n" ); document.write( ": \n" ); document.write( "\"Also the number of red was 5 less than 11 times the number of blues.\" \n" ); document.write( "R = 11B -5 \n" ); document.write( ": \n" ); document.write( "How many of each were there? \n" ); document.write( "Substitute (8B+10) for R in the above equation \n" ); document.write( "8B + 10 = 11B - 5 \n" ); document.write( "10 + 5 = 11B - 8B \n" ); document.write( "15 = 3B \n" ); document.write( "B = \n" ); document.write( "B = 5 Blues \n" ); document.write( ": \n" ); document.write( "Find R \n" ); document.write( "R = 8B + 10 \n" ); document.write( "R = 8(5) + 10 \n" ); document.write( "R = 50 \n" ); document.write( ": \n" ); document.write( "Check solutions in R = 11B - 5 \n" ); document.write( "50 = 11(5) - 5; confirms our solutions \n" ); document.write( " |