document.write( "Question 215565: Marc sold 563 tickets for the school play. Student tickets cost $4 and adult tickets cost $6. Marc’s sales totaled $2840. How many adult tickets and how many student tickets did Marc sell? \n" ); document.write( "

Algebra.Com's Answer #162880 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Marc sold 563 tickets for the school play. Student tickets cost $4 and adult tickets cost $6. Marc’s sales totaled $2840. How many adult tickets and how many student tickets did Marc sell?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of students tickets sold and let 4x be the dollar value of student tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let 563-x be the number of adult tickets sold and let 6(563-x) be the dollar value of adult tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Given total sales is $2840, then $\"4x%2B6%28563-x%29=2840\"$ . The following steps will solve this equation:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=269.
Graphical form: Equation $\"4x%2B6%2A%28563-x%29=2840\"$ was fully solved.
Text form: 4x+6*(563-x)=2840 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+4x%2B6%2A%28563-x%29=2840+%29\"$
For tutors: simplify_cartoon( 4x+6*(563-x)=2840 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"4%2Ax%2B6%2A%28highlight_red%28+563+%29-x%29=2840\"$ .
Moved $\"563\"$ to the right of expression
It becomes $\"4%2Ax%2B6%2A%28-x%2Bhighlight_green%28+563+%29%29=2840\"$ .
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Look at $\"4%2Ax%2B6%2A%28-x%2B563%29=highlight_red%28+2840+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-2840+%29\"$
It becomes $\"4%2Ax%2B6%2A%28-x%2B563%29-highlight_green%28+2840+%29=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+6%2A%28-x%2B563%29+%29-2840=0\"$ .
Expanded term $\"6\"$ by using associative property on $\"%28-x%2B563%29\"$
It becomes $\"4%2Ax-highlight_green%28+6%2Ax+%29%2Bhighlight_green%28+6%2A563+%29-2840=0\"$ .
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Look at $\"4%2Ax-6%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+563+%29-2840=0\"$ .
Multiplied numerator integers
It becomes $\"4%2Ax-6%2Ax%2Bhighlight_green%28+3378+%29-2840=0\"$ .
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Look at $\"4%2Ax-6%2Ax%2Bhighlight_red%28+3378+%29-highlight_red%28+2840+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2Ax-6%2Ax%2Bhighlight_green%28+538+%29=0\"$ .
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Look at $\"highlight_red%28+4%2Ax+%29-highlight_red%28+6%2Ax+%29%2B538=0\"$ .
Eliminated similar terms $\"highlight_red%28+4%2Ax+%29\"$ , $\"highlight_red%28+-6%2Ax+%29\"$ replacing them with $\"highlight_green%28+%284-6%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%284-6%29%2Ax+%29%2B538=0\"$ .
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Look at $\"%28highlight_red%28+4+%29-highlight_red%28+6+%29%29%2Ax%2B538=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-2+%29%29%2Ax%2B538=0\"$ .
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Look at $\"%28highlight_red%28+-2+%29%29%2Ax%2B538=0\"$ .
Removed extra sign in front of $\"-2\"$
It becomes $\"%28-highlight_green%28+2+%29%29%2Ax%2B538=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29%2B538=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"-highlight_green%28+2+%29%2Ax%2B538=0\"$ .
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Look at $\"highlight_red%28+-2%2Ax%2B538+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-2%2Ax%2B538=0+%29\"$ equivalent to -2*x+538 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=269.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x=269 , the 563-x= 563-269=294.\r
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\n" ); document.write( "\n" ); document.write( "Check dollar value...4*269+6*294=2840...which is a true statement\r
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\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER. The number of student tickets sold is 269 and the number of adult tickets sold is 294.\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,
\n" ); document.write( "Dr J\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,
\n" ); document.write( "Dr J
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