document.write( "Question 328117: movie tickets for an adult and three children cost $20. An adult's ticket costs $2 more than a child's ticket. FInd the cost of the adult's ticket. \n" ); document.write( "
Algebra.Com's Answer #235008 by jessica43(140)![]() ![]() ![]() You can put this solution on YOUR website! To solve this problem, you need to write 2 equations using what you know. \n" ); document.write( "First, you know that movie tickets for an adult and 3 children cost $20. This can be written as: \n" ); document.write( "A + 3C = 20 (where A = price for an adult ticket, C = price for child's ticket) \n" ); document.write( "Second, you know that an adult's ticket costs $2 more than a child's ticket: \n" ); document.write( "A = C + 2 \n" ); document.write( "This can also be written as C = A - 2 \n" ); document.write( "Now plug the second equation into the first and solve for A: \n" ); document.write( "A + 3C = 20 \n" ); document.write( "A + 3(A - 2) = 20 \n" ); document.write( "A + 3A - 6 = 20 \n" ); document.write( "4A - 6 = 20 \n" ); document.write( "4A = 26 \n" ); document.write( "A = 6.5 \n" ); document.write( "So the price of an adult ticket is $6.50 \n" ); document.write( " |