document.write( "Question 1150810: Amy is making small and large hamburger patties to store in her freezer. A small hamburger patty uses 1/6 pound and a large patty uses 1/3 pound of ground beef. She wants to make twice as many large patties as small patties. Using 10 pounds of ground beef, how many of each type of patty can she make? \n" ); document.write( "
Algebra.Com's Answer #772283 by MathLover1(20850)\"\" \"About 
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let the number of the small hamburger patties be \"x\" and the number of the large hamburger patties \"y\"\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "a small hamburger patty uses \"1%2F6\" pound of ground beef: total \"%281%2F6%29x\"\r
\n" ); document.write( "\n" ); document.write( "a large patty uses \"1%2F3\" pound of ground beef: total \"%281%2F3%29y\"\r
\n" ); document.write( "\n" ); document.write( "if she wants to make \"twice\" as many large patties as small patties, than \r
\n" ); document.write( "\n" ); document.write( "\"y=2x\".....eq.1 \r
\n" ); document.write( "\n" ); document.write( "if she using \"10\" pounds of ground beef, than\r
\n" ); document.write( "\n" ); document.write( " \"%281%2F6%29x%2B%281%2F3%29y=10\"......eq.2 \r
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\n" ); document.write( "\n" ); document.write( "substitute \"y\" from eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F6%29x%2B%281%2F3%292x=10\".............solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2F6%2B2x%2F3=10\".........both sides multiply by \"6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B4x=60\"\r
\n" ); document.write( "\n" ); document.write( "\"5x=60\"\r
\n" ); document.write( "\n" ); document.write( "\"x=highlight%2812%29\"-> the number of the small hamburger patties \r
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\n" ); document.write( "\n" ); document.write( "go to \"y=2x\".....eq.1 substitute \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"y=2%2A12\"\r
\n" ); document.write( "\n" ); document.write( "\"y=highlight%2824%29\"-> the number of the large hamburger patties\r
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\n" ); document.write( "\n" ); document.write( "check:\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F6%29x%2B%281%2F3%29y=10\"......eq.2 \r
\n" ); document.write( "\n" ); document.write( "\"%281%2F6%2912%2B%281%2F3%2924=10\"\r
\n" ); document.write( "\n" ); document.write( "\"2%2B8=10\"\r
\n" ); document.write( "\n" ); document.write( "\"10=10\"\r
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