document.write( "Question 1151523: If each adult ticket cost $9 and each children ticket cost $5. The total cost you spent was 110 dollars , and you bought 14 tickets in total. How many children and adult ticket did you buy ? \n" ); document.write( "
Algebra.Com's Answer #773298 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "You can start from these equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " A + C = 14 (1) (counting people)\r\n" ); document.write( "\r\n" ); document.write( " 9A + 5C = 110 (2) (counting money)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where C and A are the numbers of children and adults, respectively.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From equation (1), express C = 14-A and substitute it into equation (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 9A + 5*(14-A) = 110. (3)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, simplify and solve\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 9A + 5*14 - 5A = 110\r\n" ); document.write( "\r\n" ); document.write( " 4A = 110 - 70 = 40\r\n" ); document.write( "\r\n" ); document.write( " A = 40/4 = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 10 adults and 14-10 = 4 children.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You also can start from equation (3) directly, if you want to setup the problem in 1 (one) single equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard tickets problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are different methods of solving such problems. \n" ); document.write( "In this site, there are the lessons\r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on tickets \r \n" ); document.write( "\n" ); document.write( " - Three methods for solving standard (typical) problems on tickets\r \n" ); document.write( "\n" ); document.write( "explaining and showing all basic methods of solving such problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From this lesson, learn on how to solve such problems once and for all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |