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?
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Algebra.Com's Answer #386789 by Theo(13342)\"\" \"About 
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.
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