document.write( "Question 376464: A midwestern music competition awarded 41 ribbons. There was 1 less blue ribbon awarded than white and 4 more red awarded than white. How many of each kind were awarded? I have attempted many times and can not figure this one out. \n" ); document.write( "
Algebra.Com's Answer #267846 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A midwestern music competition awarded 41 ribbons. \n" ); document.write( " There was 1 less blue ribbon awarded than white and 4 more red awarded than white. \n" ); document.write( " How many of each kind were awarded? \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"A midwestern music competition awarded 41 ribbons.\" \n" ); document.write( "b + w + r = 41 \n" ); document.write( ": \n" ); document.write( "\"There was 1 less blue ribbon awarded than white\" \n" ); document.write( "b = w - 1 \n" ); document.write( ": \n" ); document.write( "\"and 4 more red awarded than white.\" \n" ); document.write( "r = w + 4 \n" ); document.write( ": \n" ); document.write( "Using the total ribbon equation, replace b and r \n" ); document.write( "(w-1) + w + (w+4) = 41 \n" ); document.write( "3w + 3 = 41 \n" ); document.write( "3w = 41 - 3 \n" ); document.write( "3w = 38 \n" ); document.write( "w = \n" ); document.write( "w = 12.67 white, but this can't be true, the solution has to be an integer \n" ); document.write( ": \n" ); document.write( "It's no wonder you are having trouble with this problem, there is a mistake in it. \n" ); document.write( ": \n" ); document.write( "If the total ribbons were 42 instead of 41, if would work just fine \n" ); document.write( "3w = 42 - 3 \n" ); document.write( "3w = 39 \n" ); document.write( "w = \n" ); document.write( "w = 13 white ribbons \n" ); document.write( "and \n" ); document.write( "13 - 1 = 12 blue ribbons \n" ); document.write( "and \n" ); document.write( "13 + 4 = 17 red ribbons, a total of 42 \n" ); document.write( ": \n" ); document.write( "This is a good method with all these type of problems\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |