SOLUTION: 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?

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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?
Answer by drj(1380) About Me  (Show Source):
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?

Step 1. Let x be the number of tickets sold to children

Step 2. Let 201-x be the number of tickets sold to adults

Step 3. Let 4x be the dollar value of sold children tickets.

Step 4. Let 8(201-x) be the dollar value of sold adult tickets.

Step 5. Then, 4x+8(201-x)=964 be the total dollar value of sold tickets.

Step 6. Solving yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=161.
  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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.
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.
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.
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.
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
This is an equation! Solutions: x=161.

Universal Simplifier and Solver


Done!



With x=161 then 201-61=40. Check dollar value 4*161+8*40= 644+320=964 which is a true statement.

Step 7. ANSWER: The number of children tickets sold is 161.

I hope the above steps were helpful.

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.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV