document.write( "Question 1202625: If 118 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.50 and total receipts for the concert was $366.25, how many of each went to the concert?\r
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document.write( "There were adults and children that attended the concert. \n" );
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Algebra.Com's Answer #837573 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "If 118 people attend a concert and tickets for adults cost $3.75 \n" ); document.write( "while tickets for children cost $2.50 and total receipts for the concert was $366.25, \n" ); document.write( "how many of each went to the concert? \n" ); document.write( "There were adults and children that attended the concert. \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "If the number of adults is \"a\", then the number of children is (118-n).\r\n" ); document.write( "\r\n" ); document.write( "With it, write the total money equation in the form\r\n" ); document.write( "\r\n" ); document.write( " 3.75a + 2.50*(118-a) = 366.25 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find \"a\"\r\n" ); document.write( "\r\n" ); document.write( " 3.75a + 2.50*118 - 2.50a = 366.25\r\n" ); document.write( "\r\n" ); document.write( " 3.75a - 2.50a = 366.25 - 2.50*118\r\n" ); document.write( "\r\n" ); document.write( " 1.25a = 71.25\r\n" ); document.write( "\r\n" ); document.write( " a = 71/25/1.25 = 57.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 57 adults and 118-57 = 61 children.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 57*3.75 + 61*2.50 = 366.25 dollars, total money. ! correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar problems solved, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Typical problems on buying and selling items \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |