document.write( "Question 959095: at a concession stand, three hot dogs and four hamburgers cost $9.75; four hot dogs and three hamburgers cost $9.50. Find the cost of one hot dog and the cost of one hamburger. \n" ); document.write( "
Algebra.Com's Answer #586187 by stanbon(75887)\"\" \"About 
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at a concession stand, three hot dogs and four hamburgers cost $9.75; four hot dogs and three hamburgers cost $9.50. Find the cost of one hot dog and the cost of one hamburger.
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\n" ); document.write( "Equations:
\n" ); document.write( "3d + 4h = 975 cents
\n" ); document.write( "4d + 3h = 950 cents
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\n" ); document.write( "Modify for elimination:
\n" ); document.write( "12d + 16h = 4*975
\n" ); document.write( "12d + 9h = 3*950
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\n" ); document.write( "Subtract and solve for \"h\"::
\n" ); document.write( "7h = 1050
\n" ); document.write( "h = $1.50 (cost of one hamburger)
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\n" ); document.write( "Solve for \"d\"::
\n" ); document.write( "3d + 4h = 975
\n" ); document.write( "3d + 4*150 = 975
\n" ); document.write( "3d = 375
\n" ); document.write( "d = $1.25 (cost of one hot dog)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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