document.write( "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? \r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #202610 by Stitch(470)![]() ![]() ![]() You can put this solution on YOUR website! Let A = 30 sec. Commercial \n" ); document.write( "Let B = 60 Sec. Commercial\r \n" ); document.write( "\n" ); document.write( "*Note I am using Minutes in my equations and not seconds ( 1 min = 60 sec)\r \n" ); document.write( "\n" ); document.write( "Equation 1: \n" ); document.write( "Equation 2: (((0.5A + B = 13}}}\r \n" ); document.write( "\n" ); document.write( "Solution: \n" ); document.write( "------------------ \n" ); document.write( "Solve equation 1 for one of the variables. I will solve for B \n" ); document.write( "Equation 1: \n" ); document.write( " \n" ); document.write( "Now plug (16 - A) into equation 2 for B \n" ); document.write( "Equation 2: (((0.5A + B = 13}}} \n" ); document.write( "(((0.5A + (16 - A) = 13}}} Simplify \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now find B by plugging 6 into equation 1 for A \n" ); document.write( "Equation 1: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check your answer: \n" ); document.write( "------------------- \n" ); document.write( "Plug your values into equation 2 and see if it checks out. \n" ); document.write( "Equation 2: (((0.5A + B = 13}}} \n" ); document.write( "(((0.5*(6) + 10 = 13}}} \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |