# SOLUTION: 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

Algebra ->  Systems-of-equations -> SOLUTION: 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      Log On

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 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? Answer by stanbon(60778)   (Show Source): 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? ------------------------------------ Let number of hrs. before 11 pm be "x". Let number of hrs. after 11 pm be "y". -------------------------- Hours equation: x + y = 5 Value equation: 5x + 7.5y = 30 ------------------------------- x = 5-y Substitute to get: 5(5-y) + 7.5y = 30 25 -5y +7.5y = 30 2.5y = 5 y = 2 hrs (# of hours after 11:00) --------------- They arrived home at 1:00 am ================================= Cheers, Stan H.