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?

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) (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 was fully solved.
Text form: 4x+840-7x=720 simplifies to 0=0
Cartoon (animation) form:
For tutors: simplify_cartoon( 4x+840-7x=720 )
If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 840

to the right of expression
It becomes .

Look at .
Eliminated similar terms highlight_red%28+4%2Ax+%29

replacing them with highlight_green%28+%284-7%29%2Ax+%29

It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of

It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29

It becomes .

Look at .
Moved these terms to the left highlight_green%28+-720+%29

It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Solved linear equation highlight_red%28+-3%2Ax%2B120=0+%29

equivalent to -3*x+120 =0
It becomes .
Result:
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
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