document.write( "Question 354988: How to express the algebraic snetence if you worked 38 hours a week, you earn 8.50 an hour for monday through friday and 12.75 on saturday and you earned 340 that particular week, how many hours did you work on saturday? \n" ); document.write( "

Algebra.Com's Answer #253565 by jrfrunner(365) $\"\"$ $\"About$

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let W=hours worked during the week MOnday thru Friday
\n" ); document.write( "let S=hours worked Saturday
\n" ); document.write( "--
\n" ); document.write( "given
\n" ); document.write( "hours equation 1: W+S=38 and thus W=38-S
\n" ); document.write( "money earned equation 2: 8.50*W+12.75*S=340
\n" ); document.write( "--
\n" ); document.write( "multiply equation 2 by 100 to eliminate decimals
\n" ); document.write( "850*W+1275*S=34000
\n" ); document.write( "--
\n" ); document.write( "substitute W=38-S into the above equation
\n" ); document.write( "850(38-S)+1275*S=34000
\n" ); document.write( "32300-850*S+1275*S=34000
\n" ); document.write( "425*S=1700
\n" ); document.write( "S=4, substitute into W=38-S=38-4=34
\n" ); document.write( "--
\n" ); document.write( "validate
\n" ); document.write( "8.50*W+12.75*S=340
\n" ); document.write( "8.50*34+12.75*4=289+51=340 checks out\r
\n" ); document.write( "\n" ); document.write( "--
\n" ); document.write( "answer: 34 hours during the week and 4 hours on Saturday \n" ); document.write( "

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