document.write( "Question 227649: the jurassic Zoo charges $8 for each adult and $4 for each child. Totabill for the 201 people was $964. How many children were at the zoo? \n" ); document.write( "
Algebra.Com's Answer #169091 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The Jurassic Zoo charges $8 for each adult and $4 for each child. Total bill for the 201 people was $964. How many children were at the zoo?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of tickets sold to children\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Let 201-x be the number of tickets sold to adults\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Let 4x be the dollar value of sold children tickets.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. Let 8(201-x) be the dollar value of sold adult tickets.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 5. Then, 4x+8(201-x)=964 be the total dollar value of sold tickets.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 6. Solving yields the following steps\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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

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


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • This is an equation! Solutions: x=161.
    • \n" ); document.write( "
  • Graphical form: Equation \"4x%2B8%2A%28201-x%29=964\" was fully solved.
  • Text form: 4x+8*(201-x)=964 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+4x%2B8%2A%28201-x%29=964+%29\"
    For tutors: simplify_cartoon( 4x+8*(201-x)=964 )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"4%2Ax%2B8%2A%28highlight_red%28+201+%29-x%29=964\".
Moved \"201\" to the right of expression
It becomes \"4%2Ax%2B8%2A%28-x%2Bhighlight_green%28+201+%29%29=964\".
\n" ); document.write( "
Look at \"4%2Ax%2B8%2A%28-x%2B201%29=highlight_red%28+964+%29\".
Moved these terms to the left \"highlight_green%28+-964+%29\"
It becomes \"4%2Ax%2B8%2A%28-x%2B201%29-highlight_green%28+964+%29=0\".
\n" ); document.write( "
Look at \"4%2Ax%2Bhighlight_red%28+8%2A%28-x%2B201%29+%29-964=0\".
Expanded term \"8\" by using associative property on \"%28-x%2B201%29\"
It becomes \"4%2Ax-highlight_green%28+8%2Ax+%29%2Bhighlight_green%28+8%2A201+%29-964=0\".
\n" ); document.write( "
Look at \"4%2Ax-8%2Ax%2Bhighlight_red%28+8+%29%2Ahighlight_red%28+201+%29-964=0\".
Multiplied numerator integers
It becomes \"4%2Ax-8%2Ax%2Bhighlight_green%28+1608+%29-964=0\".
\n" ); document.write( "
Look at \"4%2Ax-8%2Ax%2Bhighlight_red%28+1608+%29-highlight_red%28+964+%29=0\".
Added fractions or integers together
It becomes \"4%2Ax-8%2Ax%2Bhighlight_green%28+644+%29=0\".
\n" ); document.write( "
Look at \"highlight_red%28+4%2Ax+%29-highlight_red%28+8%2Ax+%29%2B644=0\".
Eliminated similar terms \"highlight_red%28+4%2Ax+%29\",\"highlight_red%28+-8%2Ax+%29\" replacing them with \"highlight_green%28+%284-8%29%2Ax+%29\"
It becomes \"highlight_green%28+%284-8%29%2Ax+%29%2B644=0\".
\n" ); document.write( "
Look at \"%28highlight_red%28+4+%29-highlight_red%28+8+%29%29%2Ax%2B644=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-4+%29%29%2Ax%2B644=0\".
\n" ); document.write( "
Look at \"%28highlight_red%28+-4+%29%29%2Ax%2B644=0\".
Removed extra sign in front of \"-4\"
It becomes \"%28-highlight_green%28+4+%29%29%2Ax%2B644=0\".
\n" ); document.write( "
Look at \"highlight_red%28+%28-highlight_red%28+4+%29%29%2Ax+%29%2B644=0\".
Remove unneeded parentheses around factor \"highlight_red%28+4+%29\"
It becomes \"-highlight_green%28+4+%29%2Ax%2B644=0\".
\n" ); document.write( "
Look at \"highlight_red%28+-4%2Ax%2B644+%29=0\".
Solved linear equation \"highlight_red%28+-4%2Ax%2B644=0+%29\" equivalent to -4*x+644 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=161.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With x=161 then 201-61=40. Check dollar value 4*161+8*40= 644+320=964 which is a true statement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The number of children tickets sold is 161.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );