document.write( "Question 755319: Algebra Word problem:\r
\n" ); document.write( "\n" ); document.write( "A sandwich is served on a 18 inch bun.\r
\n" ); document.write( "\n" ); document.write( "Jenny, Demi, and Sarah agree to share the sandwich. Due to different appetites\r
\n" ); document.write( "\n" ); document.write( "Jenny cuts the sandwich in a way that Demi gets half of what Jenny gets and Sarah gets three-fourths of what Jenny gets.\r
\n" ); document.write( "\n" ); document.write( "Find the length of each person's sandwich.\r
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Algebra.Com's Answer #459585 by rothauserc(4718)\"\" \"About 
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A sandwich is served on a 18 inch bun.
\n" ); document.write( "Jenny, Demi, and Sarah agree to share the sandwich. Due to different appetites
\n" ); document.write( "Jenny cuts the sandwich in a way that Demi gets half of what Jenny gets and Sarah gets three-fourths of what Jenny gets.
\n" ); document.write( "Find the length of each person's sandwich. \r
\n" ); document.write( "\n" ); document.write( "let x be Jenny's length of sandwhich, then\r
\n" ); document.write( "\n" ); document.write( "x + x(1/2) + (3/4)x = 18\r
\n" ); document.write( "\n" ); document.write( "(4/4)x + (2/4)x + (3/4)x = 18 (convert all fractions to a common denominator)\r
\n" ); document.write( "\n" ); document.write( "(9/4)x = 18 (combine fractions)\r
\n" ); document.write( "\n" ); document.write( "9x = 72 (multiply both sides of = by 4)\r
\n" ); document.write( "\n" ); document.write( "x = 8\r
\n" ); document.write( "\n" ); document.write( "Jenny's sandwich is 8 inches
\n" ); document.write( "Demi's sandwich is 4 inches (1/2 of Jenny's)
\n" ); document.write( "Sarah's sandwich is 6 inches (3/4 of Jenny's)\r
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