Question

- 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?

Answer 1

hello

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

total number of seats = 61,000

`\begin{gathered} \text{seat A}=\text{ \$85} \\ \text{seat B= \$30} \\ \text{seat C = \$25} \end{gathered}`

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

`a=b+c\ldots eq1`
`85a+30b+25c=3436000\ldots\text{equ}2`
`a+b+c=61000\ldots\text{equ}3`

put equation 1 in equation 3

`\begin{gathered} a+b+c=61000 \\ a=b+c \\ (b+c)+b+c=61000 \\ 2b+2c=61000\ldots eq4 \end{gathered}`