document.write( "Question 1198947: Leigh is paid time-and-a-half for hours worked in excess of 40 hours and double-time for hours on Sunday. If Leigh had gross weekly wages of $456 for working 50 hours, 4 of which were on Sunday, what us her regular hourly rate?\r
\n" ); document.write( "\n" ); document.write( "My Set Up:\r
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\n" ); document.write( "\n" ); document.write( "Hours worked = 40 + 10 + 4
\n" ); document.write( "Overtime: 14\r
\n" ); document.write( "\n" ); document.write( "Hourly Wage = 40x
\n" ); document.write( "14(1.5x + 2x)\r
\n" ); document.write( "\n" ); document.write( "Salary = 40x + 10(1.5x) + 4(2x), where 2x = double-time\r
\n" ); document.write( "\n" ); document.write( "Equation:\r
\n" ); document.write( "\n" ); document.write( "40x + 10(1.5x) + 4(2x) = 456\r
\n" ); document.write( "\n" ); document.write( "1. Is the set up correct?
\n" ); document.write( "2. How is this problem solved without algebra?\r
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Algebra.Com's Answer #832627 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Let \"r\" be the base wage rate in $/hr
\n" ); document.write( "Let \"w\" be the # weekly hours worked up to \"40\"
\n" ); document.write( "Let \"s\" be the # Sunday hours worked
\n" ); document.write( "Let \"o+\" be the # other overtime hours worked\r
\n" ); document.write( "\n" ); document.write( "If Leigh worked \"50\" hours, \"4\" of which were on Sunday, then\r
\n" ); document.write( "\n" ); document.write( "\"w+%2B+o+%2B+s+=+50\"\r
\n" ); document.write( "\n" ); document.write( "where
\n" ); document.write( "\"w=40\"
\n" ); document.write( "\"s+=4\"\r
\n" ); document.write( "\n" ); document.write( "=>\"o=50-40-4=6\"\r
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\n" ); document.write( "\n" ); document.write( "Given:
\n" ); document.write( "multiplier for \"w\" hours is\"+1\"
\n" ); document.write( "multiplier for \"o\" hours is\"+1.5\"
\n" ); document.write( "multiplier for \"s\" hours is \"2\"\r
\n" ); document.write( "\n" ); document.write( "let \"r+\" be the base wage rate in $/hr, then\r
\n" ); document.write( "\n" ); document.write( "\"w+%2Ar%2B+1.5or+%2B+2sr+=456\"
\n" ); document.write( "\"40r%2B+1.5%2A6r+%2B+8r+=456\"
\n" ); document.write( "\"40r%2B+9r+%2B+8r+=456\"
\n" ); document.write( "\"57r+=456\"
\n" ); document.write( "\"r+=456%2F57\"
\n" ); document.write( "\"r=8.00\"\r
\n" ); document.write( "\n" ); document.write( "her regular hourly rate is $\"8.00.\"\r
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