document.write( "Question 1148571: A group of 4 students went to the movie theater. They each bought a ticket for $x and spent $10.50 each on snacks. A group of 3 adults went to the movie theater and paid twice as much for each of their tickets as each student. The group of adults also spent $10.00 each on snacks. The group of students spent the same amount as the group of adults. What is the cost of each adult ticket? \n" ); document.write( "
Algebra.Com's Answer #769915 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! A group of 4 students went to the movie theater. \n" ); document.write( "They each bought a ticket for $x and spent $10.50 each on snacks. \n" ); document.write( " \r\n" ); document.write( "They spent 4 times x dollars plus 4 times $10.50 or 4x+42 dollars. \r\n" ); document.write( " \n" ); document.write( "A group of 3 adults went to the movie theater and paid twice as much for each of \n" ); document.write( "their tickets as each student, or $2x. The group of adults also spent $10.00 \n" ); document.write( "each on snacks. \n" ); document.write( " \r\n" ); document.write( "They spent 3 times 2x dollars plus 3 times $10.00 or 6x+30 dollars. \r\n" ); document.write( " \n" ); document.write( "The group of students spent the same amount as the group of adults. \n" ); document.write( " \r\n" ); document.write( " 3x+42 = 6x+30\r\n" ); document.write( " 12 = 3x\r\n" ); document.write( " 4 = x <-- interpreted as $4.00 for student ticket.\r\n" ); document.write( " \n" ); document.write( "What is the cost of each adult ticket? \n" ); document.write( " \r\n" ); document.write( "Twice as much as $4.00 or $8.00.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |