document.write( "Question 614855: COULD SOMEONE HELP ME WITH THIS PROBLEM:\r
\n" );
document.write( "\n" );
document.write( " A university bookstore recently sold a wirebound graph-paper notebook for $3.36, and a college-ruled notebook for $4.57. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $205.51. How many of each type were sold?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #386789 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = number of wire bound notebooks \n" ); document.write( "y = number of college ruled notebooks \n" ); document.write( "x + y = 50 \n" ); document.write( "3.36 * x + 4.57 * y = 205.51 \n" ); document.write( "solve these 2 equations simultaneously to get your answer. \n" ); document.write( "from the first equation, solve for y to get: \n" ); document.write( "y = 50 - x \n" ); document.write( "substitute this value of y in the second equation to get: \n" ); document.write( "3.36 * x + 4.57 * (50-x) = 205.51 \n" ); document.write( "simplify to get: \n" ); document.write( "3.36 * x + 4.57 * 50 - 4.57 * x = 205.51 \n" ); document.write( "combine like terms to get: \n" ); document.write( "-1.21 * x + 228.5 = 205.51 \n" ); document.write( "subtract 228.5 from both sides of the equation to get: \n" ); document.write( "-1.21 * x = -22.9 \n" ); document.write( "divide both sides of this equation by -1.21 to get: \n" ); document.write( "x = -22.9 / -1.21 = 19 \n" ); document.write( "since x + y = 50, this means that y = 31 \n" ); document.write( "3.36 * 19 + 4.57 * 31 = 205.51 \n" ); document.write( "numbers check out. \n" ); document.write( "answer is: \n" ); document.write( "number of wire bound notebooks is 19 and number of college ruled notebooks is 31. \n" ); document.write( " \n" ); document.write( " |