document.write( "Question 101365: A 10 ft board is to be cut into two pieces so that the longer piece is 4 times shourter. Find the length of each piece. \n" ); document.write( "
Algebra.Com's Answer #73849 by doukungfoo(195)![]() ![]() You can put this solution on YOUR website! Lets set the shorter piece equal to x \n" ); document.write( "shorter = x \n" ); document.write( "Now define the longer piece in terms of x \n" ); document.write( "Given: longer piece is 4 times the shorter \n" ); document.write( "longer = 4x \n" ); document.write( "Ok we are told these two pieces were cut from a 10 ft board so we can write an equation to solve for x \n" ); document.write( "short piece + long piece = 10 ft \n" ); document.write( "x + 4x = 10 \n" ); document.write( "5x = 10 \n" ); document.write( "x = 2 \n" ); document.write( "Answer: short piece is 2 ft \n" ); document.write( "Now use this to find the long piece \n" ); document.write( "longer = 4x \n" ); document.write( "4*2=8 \n" ); document.write( "Answer: long piece is 8 ft \n" ); document.write( "Check answers: \n" ); document.write( "short piece + long piece = 10 ft \n" ); document.write( "2 + 8 = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |