document.write( "Question 1204593: Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each and children tickets (y) cost $37 each. Isabella spent a total of $521 and purchased 3 more children tickets than adult tickets. Which is a viable solution for the system of equations? \n" ); document.write( "

Algebra.Com's Answer #840935 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each
\n" ); document.write( "and children tickets (y) cost $37 each. Isabella spent a total of $521
\n" ); document.write( "and purchased 3 more children tickets than adult tickets.
\n" ); document.write( " $\"highlight%28cross%28Which%29%29\"$ What is a $\"highlight%28cross%28viable%29%29\"$ solution for the system of equations?
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document.write( "The system of equation is\r\n" );
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document.write( "      y -   x =   3  tickets      (1)\r\n" );
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document.write( "    45x + 37y = 521  dollars      (2)\r\n" );
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document.write( "To solve it, from equation (1) express y = 3+x and substitute it into equation (2).\r\n" );
document.write( "You will get then\r\n" );
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document.write( "    45x + 37(3+x) = 521.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    45x + 111 + 37x = 521\r\n" );
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document.write( "    45x + 37x = 521 - 111\r\n" );
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document.write( "       82x    =    410\r\n" );
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document.write( "         x    =    410/82 = 5   (number of adult tickets)\r\n" );
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document.write( "Then y = 3+x = 3+5 = 8   (number of children tickets)\r\n" );
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document.write( "ANSWER.  5 adult tickets and 8 children tickets.\r\n" );
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document.write( "CHECK.   5*45 + 8*37 = 521 dollars, total money spent for tickets.   ! correct !\r\n" );
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