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
Law Incorporation [45]
3 years ago
10

A school band performs a spring concert for a crowd of 600 people The revenue for the concert is $3150. There are 150 more adult

s at the concert than students. Students- $3 Adults- $7 Children under 12- $2
How many of each type ticket are sold?
Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

Number of adults = 350

Number of students = 200

Number of Children under 12 = 50

Step-by-step explanation:

Let

Number of adults = x

Number of students = y

Number of Children under 12 = z

Cost of each ticket

Students = $3

Adults = $7

Children under 12 = $2

Total crowd at the concert = 600

Total revenue = $3,150

There are 150 more adults at the concert than students.

That is, adults = y + 150

The equations

x + y + z = 600

7x + 3y + 2z = 3,150

Recall,

x = y + 150

y + 150 + y + z = 600

7(y + 150) + 3y + 2z = 3,150

2y + z + 150 = 600

7y + 1050 + 3y + 2z = 3,150

2y + z = 600 - 150

10y + 2z = 3150 - 1050

2y + z = 450 (1)

10y + 2z = 2,100 (2)

Multiply (1) by 2

4y + 2z = 900 (3)

10y + 2z = 2,100 (2)

Subtract (3) from (2)

10y - 4y = 2100 - 900

6y = 1200

Divide both sides by 6

y = 1200/6

= 200

Substitute the value of y into (1)

2y + z = 450

2(200) + z = 450

400 + z = 450

z = 450 - 400

= 50

z = 50

Substitute value of y into

x = y + 150

x = 200 + 150

= 350

x = 350

Therefore,

Number of adults = 350

Number of students = 200

Number of Children under 12 = 50

You might be interested in
Combining like terms <br> -2x+3-4x+5-4^2+11+2x^2-14 <br> plz help me
liberstina [14]

Answer:   2x2 - 6x - 11

Step-by-step explanation:

1. Evaluate

2. Collect like terms and calculate

3. Reorder the terms

Answer:

                   2x2-6x-11  ( the second two is above the x)

6 0
3 years ago
8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Natalie counted the number of birds she saw each day for 20 days, and she recorded her data in the table. Which scatterplot corr
vlada-n [284]

Answer:

I would answer this question, however there is no picture in order for me to tell.

Step-by-step explanation:

:(

5 0
3 years ago
An Arian elephant eats 400 pounds of vegetation each day
Scorpion4ik [409]
400d=p
All you have to do is multiply 400 pounds by however many days you need to figure out. For example, if you wanted to find how many pounds an Arian elephant eats in 4 days, you would multiply 400*4=p. 400*4=1,600 pounds. Hope this helps :)
3 0
2 years ago
Read 2 more answers
The standard normal curve shown below is a probability density curve for a
sergey [27]

Answer:

  E. 0.6872

Step-by-step explanation:

An appropriate calculator or Z-table is needed for answering questions like this. My calculator tells me the area is ...

  0.687267787 ≈ 0.6873

____

The web app shown in the attachment gives the same 4-digit value.

____

If you look up the area values in a table, you might find ...

  p(z < -1.2) = 0.1151

  p(z < 0.85) = 0.8023

Then the difference is ...

  p(-1.2 < z < 0.85) = 0.8023 -0.1151 = 0.6872

_____

Note that the least significant digit of the difference between rounded numbers often cannot be trusted to be accurate--as in this case.

8 0
3 years ago
Other questions:
  • Simplify the following expression. (30x^3-18x^2-24x)/6x
    5·1 answer
  • What is the scale factor for the set of similar figures?
    15·1 answer
  • The average cost of a compact car at a certain dealership over the last ten years has ranged from $14,000 to $18,500. Suppose yo
    15·1 answer
  • What is 8 divided by 1,898
    13·2 answers
  • A tree is 66 inches tall. How tall is it in feet and inches?
    7·2 answers
  • The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took
    12·1 answer
  • Please help me I will give u brainiest
    10·2 answers
  • Someone plz help me
    6·1 answer
  • Your Gps shows that your friends house is 10.0 km away, as shown in the image below. but there is a big hill between your house
    11·1 answer
  • hi guys can someone help me whit this question is for tommorow for my is so difficult . The exercise talks about math sets. It i
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!