document.write( "Question 1157183: Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.80 per hour, and Job B pays $7.30 per hour. How many hours did she work at each job the week that she made $148.40? (Round to two decimal places if necessary.) \n" ); document.write( "
Algebra.Com's Answer #780004 by Theo(13342)\"\" \"About 
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x = number of hours shw worked for job A.
\n" ); document.write( "y = number of hours she worked for job B.
\n" ); document.write( "x + y = 23
\n" ); document.write( "5.8x + 7.3y = 148.4
\n" ); document.write( "these are two equations that need to be solved simultaneously.
\n" ); document.write( "the first tells her the total hours she worked.
\n" ); document.write( "the second tells her the total amount of money she made.
\n" ); document.write( "multiply both sides of the first equation by 5.8 and leave the second equation as is to get:
\n" ); document.write( "5.8x + 5.8y = 133.4
\n" ); document.write( "5.8x + 7.3y = 148.4
\n" ); document.write( "subtract the first equation from the second to get:
\n" ); document.write( "0x + 1.5y = 15 which becomes:
\n" ); document.write( "1.5y = 15
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 10
\n" ); document.write( "this makes x = 13 because 13 + 10 = 23
\n" ); document.write( "replace x with 13 and y with 10 in the second equation to get:
\n" ); document.write( "5.8 * 13 + 7.3 * 10 = 148.4
\n" ); document.write( "evaluate to get:
\n" ); document.write( "148.4 = 148.4
\n" ); document.write( "this confirms the values of x = 13 and y = 10 are good.
\n" ); document.write( "your solution is:
\n" ); document.write( "she worked 13 hours for job A and 10 hours for job B.
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