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Theater Tickets. The El Portal Center for the Arts in North Hollywood, California, holds a maximum of 400 people. The two balconies hold 94 and 91 people each; the rest of the seats are at the stage level. Solving the equation x + 94 + 91 = 400 will give you the number of seats on the stage level.

Theater Tickets The El Portal Center for the Arts in North Hollywood California holds a maximum of 400 people The two balconies hold 94 and 91 people each the r class=


Answer :

So first of all we have to solve this equation:

[tex]x+94+91=400[/tex]

We can perform the operation 94+91=185 so we get:

[tex]x+185=400[/tex]

And we can substract 185 from both sides of the equation:

[tex]\begin{gathered} x+185-185=400-185 \\ x=215 \end{gathered}[/tex]

Then the answer to part a is 215.

Now that we have the number of seats on the stage level we can find the max amount of money the theater can bring in. This will be given by the total number of seats in the stage level multiplied by the cost per ticket for these seats plus the total number of seats in balconies (185) multiplied by the cost per ticket for these seats. Then we get:

[tex]215\cdot30+185\cdot25=11075[/tex]

Then the max amount of money the theater can bring in for a show and answer to part b is $11075.

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