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
Evaluate the expression. If necessary, round to the nearest hundredth. ln e Undefined 1 0
Luba_88 [7]
What is the expression
7 0
3 years ago
Read 2 more answers
Write down the set of multiples of 4 between 1 and 25.
jeka57 [31]

Answer:

2,3,4,5,6,7,8,9,10, that's it easy

7 0
2 years ago
Read 2 more answers
Kayla wanted to buy a sweatshirt. The original price was $45. When she went to the store the sale price was $37. What is the per
crimeas [40]

Answer:

You need to cross multiply 37/45+x/100 which equals 17%

Step-by-step explanation:

The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent. This would be 17%

7 0
3 years ago
Find the perimeter of the
anzhelika [568]
167





hope that helps :)))
7 0
3 years ago
20.24 scientific notation
Darya [45]
20.24=2.024 x 10

Answer: 2.024 x 10
7 0
2 years ago
Other questions:
  • You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed?
    10·1 answer
  • To either side kneel two high-court functionaries, dressed very like the Oba, but with plainer headdresses and fewer neck-rings.
    10·2 answers
  • Please help me with this question, image attached.
    9·2 answers
  • What is the answer for -5(3x-9)=2(x-63)-33?
    10·1 answer
  • You are making festive thanksgiving tablecloths for to similar rectangular tables.the first table cloth measures 48inches wide a
    12·1 answer
  • 6957÷10 Solve the QUESTION ​
    9·2 answers
  • 53 divided by 3 0 4 . 7 5
    8·1 answer
  • Find the length of Zy to the nearest tenth of a foot?
    7·1 answer
  • I dont get this can someone help me pls​
    9·1 answer
  • B) Here are the first four terms of another sequence.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!