document.write( "Question 1018757: Dante spent $11.25 on 3 new and 4 old comic books, and Samantha spent $15.75 0n 10 old and 3 new ones. If comics of one type are sold at the same price, what is the price in dollars of a new comic book? \n" ); document.write( "

Algebra.Com's Answer #634791 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Make new comics = x
\n" ); document.write( "Old comics = y
\n" ); document.write( "3x + 4y = 1125.......(1)
\n" ); document.write( "3x + 10y = 1575......(2)
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( ".....6y = 450
\n" ); document.write( ".....y = 450/6
\n" ); document.write( ".....y = 75
\n" ); document.write( "Substitute y = 75
\n" ); document.write( "into (1)
\n" ); document.write( "3x + 4y = 1125.......(1)
\n" ); document.write( "3x + 4(75) = 1125
\n" ); document.write( "3x = 1125 - 300
\n" ); document.write( "3x = 825
\n" ); document.write( "x = 825/3
\n" ); document.write( "x = 275
\n" ); document.write( "New comic book = $2.75
\n" ); document.write( "Old comic books = $0.75
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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