# SOLUTION: A disc jockey must play 16 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Finance -> SOLUTION: A disc jockey must play 16 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is       Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Money, Business and Interest Solvers Lessons Answers archive Quiz In Depth

 Question 278427: A disc jockey must play 16 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 13 min, how many 30-second commercials were played that hour? How many 60-second commercials? Found 2 solutions by richwmiller, Stitch:Answer by richwmiller(9135)   (Show Source): You can put this solution on YOUR website!x+y=16 1/2x+y=13 1/2x=3 x=6 30 second spots y=10 60 second spots check 6*.5+10=13 6+10=16 ok Answer by Stitch(352)   (Show Source): You can put this solution on YOUR website!Let A = 30 sec. Commercial Let B = 60 Sec. Commercial *Note I am using Minutes in my equations and not seconds ( 1 min = 60 sec) Equation 1: Equation 2: (((0.5A + B = 13}}} Solution: ------------------ Solve equation 1 for one of the variables. I will solve for B Equation 1: Now plug (16 - A) into equation 2 for B Equation 2: (((0.5A + B = 13}}} (((0.5A + (16 - A) = 13}}} Simplify Combine like terms Subtract 16 from both sides Divide both sides by -0.5 Now find B by plugging 6 into equation 1 for A Equation 1: Check your answer: ------------------- Plug your values into equation 2 and see if it checks out. Equation 2: (((0.5A + B = 13}}} (((0.5*(6) + 10 = 13}}}