document.write( "Question 1084312: Hi, can you please help me solve this world problem for the second part of my homework?
\n" ); document.write( "The boy scouts sold $894 worth of tickets for their spaghetti dinner. Adult tickets cost $8 each and children’s tickets cost $5 each. If they sold 132 tickets, how many adult tickets and how many children’s tickets were sold?
\n" ); document.write( "a. Write a system of equations which represents this problem.
\n" ); document.write( "b. Use substitution to solve.
\n" ); document.write( "c. Clearly state the answer to the question.
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Algebra.Com's Answer #698398 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "Hi, can you please help me solve this world problem for the second part of my homework?
\n" ); document.write( "The boy scouts sold $894 worth of tickets for their spaghetti dinner. Adult tickets cost $8 each and children’s tickets
\n" ); document.write( "cost $5 each. If they sold 132 tickets, how many adult tickets and how many children’s tickets were sold?
\n" ); document.write( "a. Write a system of equations which represents this problem.
\n" ); document.write( "b. Use substitution to solve.
\n" ); document.write( "c. Clearly state the answer to the question.
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document.write( "Let \"x\" be the number of adult tickets.\r\n" );
document.write( "Let \"y\" be the number of children's tickets.\r\n" );
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document.write( "Then \r\n" );
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document.write( " x +  y = 132,     (1)     and\r\n" );
document.write( "8x + 5y = 894.     (2)\r\n" );
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document.write( "From equation (1), express x = 132 - y and substitute it into equation (2). You will get\r\n" );
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document.write( "8*(132-y) + 5y = 894.\r\n" );
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document.write( "It is a single equation for one unknown y. Simplify and solve it for y:\r\n" );
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document.write( "1056 - 8y + 5y = 894,\r\n" );
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document.write( "-3y = 894 - 1056,\r\n" );
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document.write( "-3y = -162  ---->  y =  = 54.\r\n" );
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document.write( "So, 52 children's tickets were sold.\r\n" );
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document.write( "Then the number of adults tickets was 132 - 54 = 78.\r\n" );
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document.write( "Answer.  78 adult tickets and 54 children's tickets were sold.\r\n" );
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document.write( "Check.   78*8 + 54*5 = 894 dollars./  Correct !!\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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