document.write( "Question 1139185: The admission fee at an amusement park is $1.25 for children and $6.40 for adults. On a certain day, 333 people entered the park, and the admission fees collected totaled 1163 dollars. How many children and how many adults were admitted?
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Algebra.Com's Answer #756970 by ikleyn(52864) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x = # of adult tickets, y = # of children tickets.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the condition, you have these 2 equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 333 (1) (counting tickets)\r\n" ); document.write( "\r\n" ); document.write( " 6.40*x + 1.25*y = 1163 (2) (counting money)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From equation (1), express y = 333 - x and substitute it into equation (2). You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 6.40x + 1.25*(333-x) = 1163.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Express x and calculate answer\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "The problem solved using 2-equation setup and the Substitution method.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical ticket problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For ticket problems, read 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( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From these lessons, 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 lessons are 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( " \n" ); document.write( " |