document.write( "Question 58762This question is from textbook college algebra
\n" ); document.write( ": Please help me solve. It involves systems of equations. Thank you \r
\n" ); document.write( "\n" ); document.write( "During summer vacation Hector and Ann earned a total of $1088. Hector worked 8 days fewer than Ann and earned $2 per day less. Find the number of days he worked and the daily wage he made if the total number of days worked by both was 72.\r
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Algebra.Com's Answer #40358 by ankor@dixie-net.com(22740)\"\" \"About 
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During summer vacation Hector and Ann earned a total of $1088. Hector worked 8 days fewer than Ann and earned $2 per day less. Find the number of days he worked and the daily wage he made if the total number of days worked by both was 72.
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\n" ); document.write( "Find out how many days each worked:
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\n" ); document.write( "Number of days worked by Ann = x
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\n" ); document.write( "\"Hec worked 8 days fewer than Ann\"
\n" ); document.write( "Hecs days = (x-8)
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\n" ); document.write( "Together they worked 72 days:
\n" ); document.write( "x + (x-8) = 72
\n" ); document.write( "2x = 72 + 8
\n" ); document.write( "2x = 80
\n" ); document.write( "x = 80/2
\n" ); document.write( "x = 40 days worked by Ann, then Hec worked 32 days
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\n" ); document.write( "Find out how much they made:
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\n" ); document.write( "Let w = Ann's daily wage
\n" ); document.write( "Then (w-2) = Hec daily wage
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\n" ); document.write( "40w + 32(w-2) = 1088
\n" ); document.write( "40w + 32w - 64 = 1088
\n" ); document.write( "72w = 1088 + 64
\n" ); document.write( "72w = 1152
\n" ); document.write( "w = 1152/72
\n" ); document.write( "w = $16 a day is Ann's wage, then $14 a day is Hec's wage
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\n" ); document.write( "Check on your calc: (40*16) + 32(14) = 1088
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