document.write( "Question 216746: Movie tickets cost $4.00 for a child and $7.00 for adults. they collected $720.00 by selling 120 ticekets. how many adult tickets were sold? \n" ); document.write( "
Algebra.Com's Answer #163632 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Movie tickets cost $4.00 for a child and $7.00 for adults. they collected $720.00 by selling 120 tickets. how many adult tickets were sold?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of child tickets.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let 4x be the dollar value of child tickets sold.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 120-x be the number of adult tickets.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let 7(120-x) be the dollar value of adult tickets sold\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Then, 4x+7(120-x)=720 or 4x+840-7x=720.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. Solving yields the following:\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=40.
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  • Graphical form: Equation \"4x%2B840-7x=720\" was fully solved.
  • Text form: 4x+840-7x=720 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+4x%2B840-7x=720+%29\"
    For tutors: simplify_cartoon( 4x+840-7x=720 )
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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 \"4%2Ax%2Bhighlight_red%28+840+%29-7%2Ax=720\".
Moved \"840\" to the right of expression
It becomes \"4%2Ax-7%2Ax%2Bhighlight_green%28+840+%29=720\".
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Look at \"highlight_red%28+4%2Ax+%29-highlight_red%28+7%2Ax+%29%2B840=720\".
Eliminated similar terms \"highlight_red%28+4%2Ax+%29\",\"highlight_red%28+-7%2Ax+%29\" replacing them with \"highlight_green%28+%284-7%29%2Ax+%29\"
It becomes \"highlight_green%28+%284-7%29%2Ax+%29%2B840=720\".
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Look at \"%28highlight_red%28+4+%29-highlight_red%28+7+%29%29%2Ax%2B840=720\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-3+%29%29%2Ax%2B840=720\".
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Look at \"%28highlight_red%28+-3+%29%29%2Ax%2B840=720\".
Removed extra sign in front of \"-3\"
It becomes \"%28-highlight_green%28+3+%29%29%2Ax%2B840=720\".
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Look at \"highlight_red%28+%28-highlight_red%28+3+%29%29%2Ax+%29%2B840=720\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"-highlight_green%28+3+%29%2Ax%2B840=720\".
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Look at \"-3%2Ax%2B840=highlight_red%28+720+%29\".
Moved these terms to the left \"highlight_green%28+-720+%29\"
It becomes \"-3%2Ax%2B840-highlight_green%28+720+%29=0\".
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Look at \"-3%2Ax%2Bhighlight_red%28+840+%29-highlight_red%28+720+%29=0\".
Added fractions or integers together
It becomes \"-3%2Ax%2Bhighlight_green%28+120+%29=0\".
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Look at \"highlight_red%28+-3%2Ax%2B120+%29=0\".
Solved linear equation \"highlight_red%28+-3%2Ax%2B120=0+%29\" equivalent to -3*x+120 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=40.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x= 40, then 120-x=80\r
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\n" ); document.write( "\n" ); document.write( "Check....total dollar value. 4*40+7*80=160+560=720...which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The number of adult tickets sold is 80.\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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "
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