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
Which measurement is most accurate to describe the width of a penny 19 mm 8 cm 1 m or 0.3 km
gizmo_the_mogwai [7]
It's either 8 cm or 1 m....i personally think 8 cm is more accurate but, 1 m is still an acceptable answer
5 0
3 years ago
Read 2 more answers
Xây dựng khoảng ước lượng đối xứng cho tỷ lệ tổng thể, trình bày bài toán tìm cỡ mẫu tối thiểu trong ước lượng khoảng cho tỷ lệ
Nikolay [14]
So basically you just
7 0
2 years ago
Which expression could represent a rational number?<br> A. -b<br> B. a + b<br> C. ab<br> D. b^2
leva [86]

The answer for the following question is A) -b

4 0
2 years ago
Jane has 6 more than twice the number of pairs of shoes that Mary has.
goldfiish [28.3K]

Answer:

im not sure

Step-by-step explanation:

6 0
3 years ago
1. The sum of two numbers is 90. Their difference is 18. Find the numbers. A(40, 22) B(45, 45) C(36, 54) D(27, 63) E (40, 50) F
Genrish500 [490]

Answer:

36 and 54

Step-by-step explanation:

54-36=18

54+36= 90

3 0
3 years ago
Other questions:
  • Does the point (3,1/5) lie on the line defined by 2x + 5y = 5
    11·1 answer
  • Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04 liters. Then he wants to fil
    12·1 answer
  • The sum of a number and three is equal to five less than double that number
    11·1 answer
  • Evaluate 5-4÷(6-(3-1))
    5·1 answer
  • To decorate her bedroom, Lisa spent $62.89 on new bedding, $48.26 on paint, and $81.99 on accessories. About how much did she sp
    9·2 answers
  • A plastic circular cone with a volume of x cubic centimeters is sliced horizontally into two shapes. If the height and radius of
    13·1 answer
  • Is 1.32 a rational number​
    13·2 answers
  • Solve for<br> 30 = 5(x + 5)
    11·2 answers
  • 2) Find the remainder when x3 + x2 - 20 is divided by
    15·1 answer
  • Can y'all help me please​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!