document.write( "Question 179908: A group of people purchased 8 hotdogs and 5 soft drinks at a cost of $16.00. A second group purchased 13 hotdogs and 6 soft drinks for a cost of $23.45. What is the cost of a single hotdog and a single soft drink?
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Algebra.Com's Answer #134812 by Fombitz(32388) $\"\"$ $\"About$

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Let H be the cost of the hot dog, D be the cost of a soft drink.
\n" ); document.write( "1. $\"8H%2B5D=16\"$
\n" ); document.write( "2. $\"13H%2B6D=23.45\"$
\n" ); document.write( "We can use eq. 1 to get H in terms of D.
\n" ); document.write( "1. $\"8H%2B5D=16\"$
\n" ); document.write( " $\"8H=16-5D\"$
\n" ); document.write( " $\"H=2-%285%2F8%29D\"$
\n" ); document.write( "Now substitute this expression into eq. 2 and solve for D.
\n" ); document.write( "2. $\"13H%2B6D=23.45\"$
\n" ); document.write( " $\"13%282-%285%2F8%29D%29%2B6D=23.45\"$
\n" ); document.write( " $\"26-%2865%2F8%29D%2B6D=23.45\"$
\n" ); document.write( " $\"-%2865%2F8%29D%2B%2848%2F8%29D=23.45-26\"$
\n" ); document.write( " $\"-%2817%2F8%29D=-2.55\"$
\n" ); document.write( " $\"D=%282.55%29%288%2F17%29\"$
\n" ); document.write( " $\"D=1.2\"$
\n" ); document.write( "Now that you have D, go to either eq. 1 or 2 and solve for H.
\n" ); document.write( " $\"H=2-%285%2F8%29D\"$
\n" ); document.write( " $\"H=2-%285%2F8%29%281.2%29\"$
\n" ); document.write( " $\"H=2-0.75\"$
\n" ); document.write( " $\"H=1.25\"$
\n" ); document.write( "Hot dogs cost $1.25, soft drinks cost $1.20.
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