document.write( "Question 998081: Kate worked 10 h overtime. She earned $8 more than 1/3 the amount she earns for 40h of work at her usual rate. If her overtime rate is $2.40 per hour more than her usual rate, find her overtime rate. \n" ); document.write( "
Algebra.Com's Answer #615989 by stanbon(75887)\"\" \"About 
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Kate worked 10 h overtime. She earned $8 more than 1/3 the amount she earns for 40h of work at her usual rate. If her overtime rate is $2.40 per hour more than her usual rate, find her overtime rate.
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\n" ); document.write( "Equations:
\n" ); document.write( "Note: Rate*time = earning
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\n" ); document.write( "Let \"x\" be her overtime rate and \"y\" be her usual rate.
\n" ); document.write( "10x = (1/3)40y + 8
\n" ); document.write( "x = y + 2.40
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\n" ); document.write( "Modify for elimination::
\n" ); document.write( "30x - 40y = 24
\n" ); document.write( "30x - 30y = 72
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\n" ); document.write( "Subtract and solve for \"x\"::
\n" ); document.write( "10y = 48
\n" ); document.write( "y = $4.80 per hour
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\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x = 4.80+2.40
\n" ); document.write( "x = $7.20
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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