SOLUTION: 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?

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

Step 1. Let x be the number of child tickets.

Step 2. Let 4x be the dollar value of child tickets sold.

Step 3. Let 120-x be the number of adult tickets.

Step 4. Let 7(120-x) be the dollar value of adult tickets sold

Step 5. Then, 4x+7(120-x)=720 or 4x+840-7x=720.

Step 6. Solving yields the following:

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


YOUR ANSWER


  • This is an equation! Solutions: x=40.
  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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.
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.
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
This is an equation! Solutions: x=40.

Universal Simplifier and Solver


Done!




With x= 40, then 120-x=80

Check....total dollar value. 4*40+7*80=160+560=720...which is a true statement.

Step 7. ANSWER: The number of adult tickets sold is 80.

I hope the above steps were helpful.

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.

And good luck in your studies!

Respectfully,
Dr J