3. Everyone wanted to go to the Quidditch WorldCup. The stadium where it was being held had61,000 seats. Seats sell for 585 in Section A, 530in Section B, and $25 in Section C. The number ofseats in Section A equals the total number of seatsin Sections B and C. Suppose the stadium takes in$3,436.000 from the sold-out event How manyseats does each section hold?HOW MANY SEATS ARE IN SECTION C?

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AvabellaR505597 AvabellaR505597 · Answer 1 · 2022-10-29T17:12:58+02:00

We know that the total of seats for this case are 61000 so we have the following equation:

[tex]A+B+C=61000[/tex]

We also know that the number of seats in Secton A equals the total number of seats in sections B and C so then A=B+C

[tex]A+A=61000[/tex]

Then the value of A =30500

Now we can create a function for the cost and we got:

[tex]3436000=85A+30B+25C[/tex]

Replacing the value of A we got:

[tex]30B+25C=843500[/tex]

And rewriting the first equation we got:

[tex]B+C=30500[/tex]

Solving for B we got: B=30500-C and replacing in the before equation we got:

[tex]30(30500-C)+25C=843500[/tex]

And solving for C we got:

[tex]-5C=843500-915000[/tex][tex]C=\frac{71500}{5}=14300[/tex]