document.write( "Question 901035: together a bottle and a cork cost a dollar and five cents. the bottle cost a dollar more than the cork. use trial and error to determine the cost of the cork \n" ); document.write( "
Algebra.Com's Answer #546408 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! You *could* use trial and error, guessing what the number is and plugging it in until you get the right answer, or you could use math :-) \n" ); document.write( "B + C = 1.05 \n" ); document.write( "B = C + 1.00 \n" ); document.write( "Substitute the value of B from the second equation into the first. \n" ); document.write( "B + C = $1.05 \n" ); document.write( "(C+1.00)+ C = $1.05 \n" ); document.write( "2C + 1.00 = $1.05 \n" ); document.write( "Subtract a dollar from each side \n" ); document.write( "2C = .05 \n" ); document.write( "Divide each side by 2 \n" ); document.write( "C = .025 \n" ); document.write( "Each cork costs 2.5 cents. The bottle costs a dollar more than that, or one dollar and 2.5 cents. \n" ); document.write( ".025 + 1.025 = $1.05 \n" ); document.write( "That might be a difficult one for trial and error since it contains a half cent. \n" ); document.write( " |