document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142421>Question 1142421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vendor sells hot dogs and bags of potato chips.  A customer buys 5 hot dogs and 4 bags of potato chips for $6.05.  Another customer buys 4 hot dogs and 3 bags of potato chips for $4.75.  Find the cost of each item. </SPAN>\n" );
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document.write( "Formally, using algebra....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5h%2B4p+=+6.05 ALIGN=MIDDLE  ALT=\"5h%2B4p+=+6.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4h%2B3p+=+4.75 ALIGN=MIDDLE  ALT=\"4h%2B3p+=+4.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve the pair of equations by any method you like....<br><BR>\n" );
document.write( "Informally, using logical reasoning and some mental arithmetic....<br><BR>\n" );
document.write( "(1) The difference between the two purchases is 1 hot dog and 1 bag of chips for $1.30.<BR>\n" );
document.write( "(2) So the cost of 3 hot dogs and 3 bags of chips is $3.90.<BR>\n" );
document.write( "(3) Then, since the cost of 4 hot dogs and 3 bags of chips is $4.75, the cost of 1 hot dog is $4.75-$3.90 = 85 cents.<BR>\n" );
document.write( "(4) So 4 hot dogs cost 4*85 cents = $3.40; that means the cost of the 3 bags of chips is $4.75-$3.40 = $1.35; and that means the cost of a big of chips is $1.35/3 = 45 cents.<br><BR>\n" );
document.write( "ANSWER: hot dog 85 cents; bag of chips 45 cents </SPAN>\n" );
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