document.write( "Question 214818: The owner of the Most Amazing Circus was counting the money from one day’s ticket sales. He knew that a total of 522 tickets were sold. Adult tickets cost $15 each and children’s tickets cost $8 each. If the total receipts for the day were $5086.00, how many of each kind of ticket were sold?\r
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Algebra.Com's Answer #162282 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The owner of the Most Amazing Circus was counting the money from one day’s ticket sales. He knew that a total of 522 tickets were sold. Adult tickets cost $15 each and children’s tickets cost $8 each. If the total receipts for the day were $5086.00, how many of each kind of ticket were sold?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of adult tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let 522-x be the number of children tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. let 15x be the total cost of adult tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let 8(522-x) be the total cost of children tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Then 15x+8*(522-x)=5086 is the total cost of tickets sold\r
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\n" ); document.write( "\n" ); document.write( "Step 6. The following will solve the equation in Step 5.\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=130.
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  • Graphical form: Equation \"15x%2B8%2A%28522-x%29=5086\" was fully solved.
  • Text form: 15x+8*(522-x)=5086 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+15x%2B8%2A%28522-x%29=5086+%29\"
    For tutors: simplify_cartoon( 15x+8*(522-x)=5086 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"15%2Ax%2B8%2A%28highlight_red%28+522+%29-x%29=5086\".
Moved \"522\" to the right of expression
It becomes \"15%2Ax%2B8%2A%28-x%2Bhighlight_green%28+522+%29%29=5086\".
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Look at \"15%2Ax%2B8%2A%28-x%2B522%29=highlight_red%28+5086+%29\".
Moved these terms to the left \"highlight_green%28+-5086+%29\"
It becomes \"15%2Ax%2B8%2A%28-x%2B522%29-highlight_green%28+5086+%29=0\".
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Look at \"15%2Ax%2Bhighlight_red%28+8%2A%28-x%2B522%29+%29-5086=0\".
Expanded term \"8\" by using associative property on \"%28-x%2B522%29\"
It becomes \"15%2Ax-highlight_green%28+8%2Ax+%29%2Bhighlight_green%28+8%2A522+%29-5086=0\".
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Look at \"15%2Ax-8%2Ax%2Bhighlight_red%28+8+%29%2Ahighlight_red%28+522+%29-5086=0\".
Multiplied numerator integers
It becomes \"15%2Ax-8%2Ax%2Bhighlight_green%28+4176+%29-5086=0\".
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Look at \"15%2Ax-8%2Ax%2Bhighlight_red%28+4176+%29-highlight_red%28+5086+%29=0\".
Added fractions or integers together
It becomes \"15%2Ax-8%2Ax%2Bhighlight_green%28+-910+%29=0\".
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Look at \"15%2Ax-8%2Ax%2Bhighlight_red%28+-910+%29=0\".
Removed extra sign in front of \"-910\"
It becomes \"15%2Ax-8%2Ax-highlight_green%28+910+%29=0\".
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Look at \"highlight_red%28+15%2Ax+%29-highlight_red%28+8%2Ax+%29-910=0\".
Eliminated similar terms \"highlight_red%28+15%2Ax+%29\",\"highlight_red%28+-8%2Ax+%29\" replacing them with \"highlight_green%28+%2815-8%29%2Ax+%29\"
It becomes \"highlight_green%28+%2815-8%29%2Ax+%29-910=0\".
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Look at \"%28highlight_red%28+15+%29-highlight_red%28+8+%29%29%2Ax-910=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+7+%29%29%2Ax-910=0\".
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Look at \"highlight_red%28+%28highlight_red%28+7+%29%29%2Ax+%29-910=0\".
Remove unneeded parentheses around factor \"highlight_red%28+7+%29\"
It becomes \"highlight_green%28+7+%29%2Ax-910=0\".
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Look at \"highlight_red%28+7%2Ax-910+%29=0\".
Solved linear equation \"highlight_red%28+7%2Ax-910=0+%29\" equivalent to 7*x-910 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=130.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x=130 adult tickets sold then 522-x=522-130=392 children tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The number of adult tickets sold is 130 and the number of children tickets sold is 392.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
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