1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zielflug [23.3K]
3 years ago
14

A stadium has 50,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Sect

ion A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,258,000 from each sold-out event. How many seats does each section hold
Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

Section A holds 25,000 seats, section B holds 14,500 seats and section C holds 10,500 seats.

Step-by-step explanation:

From the information given you can write the following equations:

A+B+C=50,000 (1)

28A+24B+20C=1,258,000 (2)

A=B+C (3)

A= number of seats in section A

B= number of seats in section B

C= number of seats in section C

You can replace (3) in (1) and (2) to get two equations:

B+C+B+C=50,000

2B+2C=50000

28(B+C)+24B+20C=1,258,000

28B+24B+28C+20C=1,258,000

52B+48C=1,258,000

The two equations are:

2B+2C=50000 (4)

52B+48C=1,258,000 (5)

You can isolate B in (4):

2B=50,000-2C

B=(50,000/2)-(2C/2)

B=25,000-C

Now, you can replace B in (5):

52(25,000-C)+48C=1,258,000

1,300,000-52C+48C=1,258,000

1,300,000-1,258,000=4C

42,000=4C

C=42,000/4

C=10,500

Now, you can replace the value of C in B=25,000-C:

B=25,000-10,500

B=14,500

Finally, you can replace the values of B and C in A=B+C to find A:

A=14,500+10,500

A=25,000

According to this, the answer is that section A holds 25,000 seats, section B holds 14,500 and section C holds 10,500.

You might be interested in
Translate the phrase to an algebraic expression.
mario62 [17]

Answer:

A

Step-by-step explanation:

If it’s 80 less than, your subtracting and then 4 times a number is 4x so your answer is 4x-80

8 0
3 years ago
Read 2 more answers
Help me solve this problem please
ad-work [718]
I think you count the squares in the middle or radius ?
3 0
3 years ago
Read 2 more answers
= X<br> 20<br> 100<br> 60<br><br> Please help me
satela [25.4K]

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

5 0
2 years ago
HELP ASAP PLEASE 10 POINTS!
UkoKoshka [18]
I think the answer would be c
5 0
3 years ago
Which expression shows the distance on the number line between −12 and 8?
Alexxx [7]
D I’m pretty sure I’m 50-50
4 0
2 years ago
Other questions:
  • Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
    13·1 answer
  • margaret and june both made a pumpkin pie of the same size. each cut her pie into equal pieces. Margaret's whole pie can be repr
    6·2 answers
  • How do u do this question also pls show working out with steps on a piece of paper pls:
    9·1 answer
  • Help!!!!! Thank you!!!!
    10·2 answers
  • Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.
    5·1 answer
  • Write the expression in terms of cosine.please help.
    12·1 answer
  • The graph shows the amount of money paid when purchasing bags of peanuts at the zoo: What is the constant of proportionality? (4
    8·1 answer
  • I NEED HELP WITH THIS
    11·2 answers
  • Help me figure this out
    13·1 answer
  • Find the mean ,median and mode of the weights of people shown
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!