document.write( "Question 1160513: Erica gets $0.60 an hour for ordinary time and $0.90 an hour for overtime if she gets $32.40 for 50 hours a week how many hours overtime \n" ); document.write( "
Algebra.Com's Answer #783803 by Theo(13342)\"\" \"About 
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she gets .60 an hour for regular time and .90 an hour for overtime.
\n" ); document.write( "she gets 32.40 for 50 hours.
\n" ); document.write( "let x = the number of regular hours andlet y = the number of oertime hours.
\n" ); document.write( "you get:
\n" ); document.write( "x + y = 50
\n" ); document.write( ".60x + .90y = 32.40
\n" ); document.write( "multiply both sides of the first equation by .6 and leave the second equation as is to get:
\n" ); document.write( ".60x + .60y = 30
\n" ); document.write( ".60x + .90y = 32.40
\n" ); document.write( "subtract the first equation from the second to get:
\n" ); document.write( ".30y = 2.40
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 2.40 / .30 = 8
\n" ); document.write( "since x + y = 50, then x = 42.
\n" ); document.write( "looks like she worked 42 hours regular time and 8 hours overtime.
\n" ); document.write( ".6 * 42 + .9 * 8 = 32.40, so these numbers look correct.
\n" ); document.write( "your solution is that she worked 8 hours overtime.
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