# algebra 2

posted by .

A stadium has 49,000 seats. Seats sell for 25 dollars in Section A, 20 dollars in Section B, and 15 dollars in section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in 1,052,000 dollars from each sold out event. How many seats does each section hold?

• algebra 2 -

Let section B has x seat , section C has y seat.
section A has (x+y)seat
(x+y)+x+y =49000
x+y = 24500 equation1
25(x+y)+20x +15y = 1052000 equation2
9x+8y= 210400 equation2
solving eqn.1 & eqn. 2 by substitution method you will get
x=14400
y=10100
section A =24500
section B =14400
section C= 10100

## Similar Questions

1. ### math

This is an SAT prep question: There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?
2. ### Trig

The first 40 rows of seating in a certain section of a stadium have 25 seats, 28 seats, 31 seats, and so on. The 41st through the 75th rows each contain 125 seats. Find the total number of seats in this stadium section.
3. ### math

The school auditorium has 8 rows of seats, divided into 3 setions. Each section has 15 seats. Which of the following is the correct way to figure out the total number of seats?
4. ### math

A stadium is divided into 8 sections. Each section has 72 rows and each row contains 25 seats. How many seats are in the stadium.
5. ### Math

The right side of the orchestra section of the Nederlander Theatre in New York City has 19 rows, and the last row has 27 seats. The number of seats in each row increases by 1 as you move toward the back of the section. How many seats …
6. ### math

An indoor auditorium has a small side section that models an arithmetic sequence where the third row has 5 seats and the tenth row has 26 seats. If that section has 14 rows, how many seats would be in the last row?
7. ### Algebra II

An indoor auditorium has a small side section that models an arithmetic sequence where the third row has 5 seats and the tenth row has 26 seats. If that section has 14 rows, how many seats would be in the last row?
8. ### Math

A section in a stadium has 20 seats in the first row, 23 seats in the second row, increasing by 3 seats each row for a total of 38 rows. How many seats are in this section of the stadium?
9. ### math

A crowd of people is watching a live TV show in an auditorium. Section B of the auditorium has eight rows of seats. Each row has 10 seats. If 75 percent of Section B is occupied, how many people are seated in that section?
10. ### Math

There are 4 sections of seat in the playhouse theatre. Each section has7 groups of seats.each group has 25 seats. How many seats are there in the theater?

More Similar Questions