document.write( "Question 132335This question is from textbook
\n" ); document.write( ": I need help in trying to set this Word problem up.
\n" ); document.write( "This is on a class handout as sample questions to expect in a test. \r
\n" ); document.write( "\n" ); document.write( "Can you please help me to understand first how to set up the problem and then work it out.
\n" ); document.write( "Problem (word)
\n" ); document.write( "Chelsea goes to the store and buys two (2) pairs of shoes and four(4) pairs of socks for $109.00.
\n" ); document.write( "Lora goes with her and buys three (3) pairs of shoes and five (5) pairs of socks for $160.00
\n" ); document.write( "Find the price of a pair of shoes and a pair of socks. \r
\n" ); document.write( "\n" ); document.write( "Can you please help in to understand first how to set up the problem and then
\n" ); document.write( "how to solve it.
\n" ); document.write( "Any help would greatly be appreciated.
\n" ); document.write( "Thank You
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Algebra.Com's Answer #96695 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"k\"= the price of a pair of socks
\n" ); document.write( "Let \"s\"= the price of a pair of shoes
\n" ); document.write( "(1) \"2s+%2B+4k+=+109\"
\n" ); document.write( "(2) \"3s+%2B+5k+=+160\"
\n" ); document.write( "multiply (1) by \"3\" and (2) by \"-2\"
\n" ); document.write( "and add the equations
\n" ); document.write( "\"6s+%2B+12k+=+327\"
\n" ); document.write( "\"-6s+-+10k+=+-320\"
\n" ); document.write( "\"2k+=+7\"
\n" ); document.write( "\"k+=+3.5\"
\n" ); document.write( "(1) \"2s+%2B+4k+=+109\"
\n" ); document.write( "\"2s+%2B+4%2A3.5+=+109\"
\n" ); document.write( "\"2s+%2B+14+=+109\"
\n" ); document.write( "\"2s+=+95\"
\n" ); document.write( "\"s+=+47.5\"
\n" ); document.write( "A pair of socks cost $3.50 and a pair of shoes cost $47.50
\n" ); document.write( "check:
\n" ); document.write( "(1) \"2%2A47.5+%2B+4%2A3.5+=+109\"
\n" ); document.write( "\"95+%2B+14+=+109\"
\n" ); document.write( "\"109+=+109\"
\n" ); document.write( "(2) \"3%2A47.5+%2B+5%2A3.5+=+160\"
\n" ); document.write( "\"142.5+%2B+17.5+=+160\"
\n" ); document.write( "\"160+=+160\"
\n" ); document.write( "OK
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