- Everyone wanted to go to the Quidditch WorldCup. The stadium where it was being held had61,000 seats. Seats sell for $85 in Section A $30in 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 A?

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MiyabiM551550 MiyabiM551550 · Answer 1 · 2022-10-26T14:30:10+02:00

hello

we need to take out data to help us solve this problem

total number of seats = 61,000

[tex]\begin{gathered} \text{seat A}=\text{ \$85} \\ \text{seat B= \$30} \\ \text{seat C = \$25} \end{gathered}[/tex]

the number of seats A equal total number of seat B and C

[tex]a=b+c\ldots eq1[/tex][tex]85a+30b+25c=3436000\ldots\text{equ}2[/tex][tex]a+b+c=61000\ldots\text{equ}3[/tex]

put equation 1 in equation 3

[tex]\begin{gathered} a+b+c=61000 \\ a=b+c \\ (b+c)+b+c=61000 \\ 2b+2c=61000\ldots eq4 \end{gathered}[/tex]