document.write( "Question 1206379: A group of friends went out for lunch. Three people ordered soup. Two people ordered sandwiches. Each sandwich costs twice as much as a bowl of soup. Three people ordered burgers. Each burger costs three times as much as a bowl of soup. The total cost for their lunch was less than $40.48. What was the price of a bowl of soup? \n" ); document.write( "

Algebra.Com's Answer #843806 by ikleyn(52809) $\"\"$ $\"About$

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\n" ); document.write( "A group of friends went out for lunch.
\n" ); document.write( "Three people ordered soup. Two people ordered sandwiches.
\n" ); document.write( "Each sandwich costs twice as much as a bowl of soup.
\n" ); document.write( "Three people ordered burgers.
\n" ); document.write( "Each burger costs three times as much as a bowl of soup.
\n" ); document.write( "The total cost for their lunch was less than $40.48.
\n" ); document.write( "What was the price of a bowl of soup?
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document.write( "Let x be the price of a bowl of soup.\r\n" );
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document.write( "Then the price of a sandwich is 2x, and the price of a burger is 3x.\r\n" );
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document.write( "Write an inequality for the total cost \r\n" );
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document.write( "    3x + 2*(2x) + 3*(3x) < 40.48     (as stated in the problem).\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    3x + 4x + 9x < 40.48\r\n" );
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document.write( "        16x < 40.48\r\n" );
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document.write( "          x < 2.53.\r\n" );
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document.write( "ANSWER.  The price of a bowl of soup was less than $2.53.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "A little clunky, but that's all what can be done here.\r
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