document.write( "Question 515672: George brought three books for his history, chemistry and mathematics classes. The Chemistry book cost 5 dollars more than the history book. the mathematics book costs twice as much as the chemistry book. if the total bill for all three books was 145 dollars , what is the price of each one? \n" ); document.write( "
Algebra.Com's Answer #344127 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! H = price of history book \n" ); document.write( "C = price of chemistry book \n" ); document.write( "M = price of mathematics book \n" ); document.write( ". \n" ); document.write( "C = H+5 \n" ); document.write( ". \n" ); document.write( "M = 2*C = 2*(H+5) \n" ); document.write( ". \n" ); document.write( "H + C + M = 145 \n" ); document.write( ". \n" ); document.write( "substitute in terms of H \n" ); document.write( ". \n" ); document.write( "H + H+5 + 2(H+5) = 145 \n" ); document.write( ". \n" ); document.write( "H + H + 5 + 2H + 10 = 145 \n" ); document.write( ". \n" ); document.write( "4H + 15 = 145 \n" ); document.write( ". \n" ); document.write( "4H = 130 \n" ); document.write( ". \n" ); document.write( "H = 32.50 \n" ); document.write( ". \n" ); document.write( "C = H+5 = 37.50 \n" ); document.write( ". \n" ); document.write( "M = 2*37.50 = 75.00 \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |