A stadium has 49,000 seats. Seats sell for $25 in Section A, $20 in Section B, and $15 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 $1,053,500 from each sold-out event. How many seats does each section hold?

Step-by-step explanation:

Suppose the number of seats in Section A is x, the number of seats in Section B is y, the number of seats in Section C is z.          

1. The cost of all seats in Section A if each of it sells $25 is 25x.

   The cost of all seats in Section B if each of it sells $20 is 20y.

   The cost of all seats in Section C if each of it sells $15 is 15c.

   Suppose the stadium takes in $1,053,500 from each sold-out event, so we have:

25x   20y   15c = 1,053,500 (1)

2.  The number of seats in Section A equals the total number of seats in Sections B and C, so we have:

x = y   z

x - y -z = 0 (2)

3. According to the prompt, a stadium has 49000 seats, so we have:

x   y   z = 49000 (3)

(1),(2), and (3) -> You have to solve the set of three equations.

Then we will have: x = 24500  

                                 y = 14700

                                z = 9800

Therefore, in section A, a stadium has 24500 seats.

                  in section B, a stadium has 14700 seats.

                  in section C, a stadium has 9800 seats.

Hope my answer can help you.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.