document.write( "Question 151878: Could someone please help me with this word problem? I can't get past the point of the inverse matrix.\r
\n" ); document.write( "\n" ); document.write( "A local sorority sold hotdogs and bratwursts at the spring fling picnic. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for 339.60. The second day they sold 10 dozen hotdogs and 15 dozen bratwursts for a total of 402.00. How much did each cost?\r
\n" ); document.write( "\n" ); document.write( "Each hotdog sold for $?
\n" ); document.write( "Each bratwurst sold for $?
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Algebra.Com's Answer #111703 by checkley77(12844)\"\" \"About 
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8*12H+13*12B=339.60
\n" ); document.write( "96H+156B=339.60 (MULTIPLY BY 5)
\n" ); document.write( "10*12H+15*12B=402.00
\n" ); document.write( "120H+180B=402.00 (MULTIPLY BY-4 & ADD)
\n" ); document.write( "480H+780B=1698
\n" ); document.write( "-480H-720B=-1608
\n" ); document.write( "----------------------------
\n" ); document.write( "0H+60B=90
\n" ); document.write( "B=90/60
\n" ); document.write( "B=$1.50 FOR EACH BRATWURST.
\n" ); document.write( "10*12H+15*12*1.5=402
\n" ); document.write( "120H+270=402
\n" ); document.write( "120H=402-270
\n" ); document.write( "120H=132
\n" ); document.write( "H=132/120
\n" ); document.write( "H=$1.10 FOR EACH HOTDOG.
\n" ); document.write( "PROOF:
\n" ); document.write( "10*12*1.10+15*12*1.5=402
\n" ); document.write( "120*1.10+180*1.5=402
\n" ); document.write( "132+270=402
\n" ); document.write( "402=402
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