document.write( "Question 787926: A movie theater has 2 ticket prices: 11$ for adults and 6$ for children. On a certain weekend, the theater sold 500 tickets for a total of 3900$. How many tickets of each kind were sold? \n" ); document.write( "
Algebra.Com's Answer #478369 by wilft1(217)![]() ![]() You can put this solution on YOUR website! for this one your going to have to use 2 equations, you have 2 ticket prices that sold 500 total, so that equation will be\r \n" ); document.write( "\n" ); document.write( "a + c = 500\r \n" ); document.write( "\n" ); document.write( "second equation, adult ticket prices were 11 dollars, and children prices were 6 dollars, for a total of 3900 dollars, so that equation will be...\r \n" ); document.write( "\n" ); document.write( "11a + 6c = 3900\r \n" ); document.write( "\n" ); document.write( "lets solve using elimination method\r \n" ); document.write( "\n" ); document.write( "a + c = 500 \n" ); document.write( "11a + 6c = 3900\r \n" ); document.write( "\n" ); document.write( "we want to get rid of one of our variables, so lets multiply the top line by -6\r \n" ); document.write( "\n" ); document.write( "-6a - 6c = -3000 \n" ); document.write( "11a + 6c = 3900\r \n" ); document.write( "\n" ); document.write( "lets add the two lines up thereby eliminating 6c\r \n" ); document.write( "\n" ); document.write( "5a = 900\r \n" ); document.write( "\n" ); document.write( "divide both sides by 5\r \n" ); document.write( "\n" ); document.write( "a = 180\r \n" ); document.write( "\n" ); document.write( "now that we know the value of a, we can plug that into our original equation to find out the value of c\r \n" ); document.write( "\n" ); document.write( "11(180) + 6c = 3900\r \n" ); document.write( "\n" ); document.write( "1980 + 6c = 3900\r \n" ); document.write( "\n" ); document.write( "6c = 1920\r \n" ); document.write( "\n" ); document.write( "c = 320\r \n" ); document.write( "\n" ); document.write( "plug in both values to doublecheck their accuracy, but your total ticket sales are....\r \n" ); document.write( "\n" ); document.write( "180 adult tickets, and 320 children tickets. \n" ); document.write( " |