document.write( "Question 348347: Hello, I have tried to solve this problem! the problem reads: A movie theater has two ticket prices $8 for adults and $5 for kids. If the box office took in $4116. from the sale of 600 tickets, how many of each kind were sold? \n" ); document.write( "
Algebra.Com's Answer #249040 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A movie theater has two ticket prices $8 for adults and $5 for kids. If the box office took in $4116. from the sale of 600 tickets, how many of each kind were sold? \n" ); document.write( "--------------------- \n" ); document.write( "Quantity: a + k = 600 \n" ); document.write( "Value: 8a+ 5k = 4116 \n" ); document.write( "-------------------------- \n" ); document.write( "5a + 5k = 3000 \n" ); document.write( "8a + 5k = 4116 \n" ); document.write( "---- \n" ); document.write( "Subtract the 1st from the 2nd and solve for \"a\": \n" ); document.write( "3a = 1116 \n" ); document.write( "a = 372 (# of adult tickets sold) \n" ); document.write( "---- \n" ); document.write( "Since a+k = 600, k = 228 (# of kids tickets sold) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( "=============== \n" ); document.write( " |