document.write( "Question 145090: The Wilson's pay their babysitter $5 per hour before 11 pm and $7.50 per hour after 11 pm. one evening they went out for 5 hours and paid the sitter $30.00. what time did they come home? \n" ); document.write( "
Algebra.Com's Answer #105775 by stanbon(75887) ![]() You can put this solution on YOUR website! The Wilson's pay their babysitter $5 per hour before 11 pm and $7.50 per hour after 11 pm. one evening they went out for 5 hours and paid the sitter $30.00. what time did they come home? \n" ); document.write( "------------------------------------ \n" ); document.write( "Let number of hrs. before 11 pm be \"x\". \n" ); document.write( "Let number of hrs. after 11 pm be \"y\".\r \n" ); document.write( "\n" ); document.write( "-------------------------- \n" ); document.write( "Hours equation: x + y = 5 \n" ); document.write( "Value equation: 5x + 7.5y = 30 \n" ); document.write( "------------------------------- \n" ); document.write( "x = 5-y \n" ); document.write( "Substitute to get: \n" ); document.write( "5(5-y) + 7.5y = 30 \n" ); document.write( "25 -5y +7.5y = 30 \n" ); document.write( "2.5y = 5 \n" ); document.write( " y = 2 hrs (# of hours after 11:00) \n" ); document.write( "--------------- \n" ); document.write( "They arrived home at 1:00 am \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |