document.write( "Question 1015156: Jennifer went on a shopping spree, spending a total of $166 on a skirt, a sweater, and a pair of shoes. The cost of the sweater was 8/7 of the cost of the skirt. The shoes cost $12 more than the skirt. Find the cost of each item.\r
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Algebra.Com's Answer #631498 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = the cost of the skirt
\n" ); document.write( "Let \"+b+\" = the cost of the sweater
\n" ); document.write( "Let \"+c+\" = the cost of the pair of shoes
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+%2B+c+=+166+\"
\n" ); document.write( "(2) \"+b+=+%288%2F7%29%2Aa+\"
\n" ); document.write( "(3) \"+c+=+a+%2B+12+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Substitute (2) and (3) into (1)\r
\n" ); document.write( "\n" ); document.write( "(1) \"+a+%2B+%288%2F7%29%2Aa+%2B+a+%2B+12+=+166+\"
\n" ); document.write( "(1) \"+%2814%2F7%29a+%2B+%288%2F7%29%2Aa+=+166+-+12+\"
\n" ); document.write( "(1) \"+%2822%2F7%29%2Aa+=+154+\"
\n" ); document.write( "Multiply both sides by \"+7%2F22+\"
\n" ); document.write( "(1) \"+a+=+%287%2F22%29%2A154+\"
\n" ); document.write( "(1) \"+a+=+7%2A7+\"
\n" ); document.write( "(1) \"+a+=+49+\"
\n" ); document.write( "------------------
\n" ); document.write( "(2) \"+b+=+%288%2F7%29%2Aa+\"
\n" ); document.write( "(2) \"+b+=+%288%2F7%29%2A49+\"
\n" ); document.write( "(2) \"+b+=+8%2A7+\"
\n" ); document.write( "(2) \"+b+=+56+\"
\n" ); document.write( "------------------
\n" ); document.write( "(3) \"+c+=+a+%2B+12+\"
\n" ); document.write( "(3) \"+c+=49+%2B+12+\"
\n" ); document.write( "(3) \"+c+=+61+\"
\n" ); document.write( "------------------
\n" ); document.write( "The cost of the skirt was $49
\n" ); document.write( "The cost of the sweater was $56
\n" ); document.write( "The cost of the pair of shoes $61
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\n" ); document.write( "Check:
\n" ); document.write( "(1) \"+a+%2B+b+%2B+c+=+166+\"
\n" ); document.write( "(1) \"+49%2B+56+%2B+61+=+166+\"
\n" ); document.write( "(1) \"+166+=+166+\"
\n" ); document.write( "OK
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