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
Dmitrij [34]
3 years ago
9

A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout show to gen

erate a total revenue 194400
The number of tickets for sale at $28 should be
The number of tickets for sale at $40 should be​
Mathematics
1 answer:
irakobra [83]3 years ago
4 0

Answer:

3,833 for $28

2167 for $40

Step-by-step explanation:

Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.

Now,   $ 28X will be the revenue generated due to the $28 tickets

And,   $40Y will be the revenue generated due to the 40$ tickets.

Now, Total revenue generated should be $194400.

Thus ,   28X + 40Y  = 194400  -(1).

Also,

Total number of seats in theater is 6000.

So, X + Y = 6000.  -(2)

X = 6000 - Y.

Put in equation 1

We get ,    168,000 - 28Y + 40Y = 194,400

                   12Y = 26,000

                      Y = 2,166.66

Since , Y is of 40 $ so minimum tickets sold should be 2167.

X = 3,833.

You might be interested in
use the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-x-3=0. do not find the actu
Allisa [31]
None. <span>±</span>p/q, <span>where </span><span>p</span><span> is a </span>factor<span> of the </span>constant<span> and </span><span>q</span><span> is a </span>factor<span> of the leading </span>coefficient<span>.</span>
5 0
3 years ago
Read 2 more answers
Gina takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit
Kipish [7]

Answer: second option.

Step-by-step explanation:

Let be "w" the credit hours at Westside Gina is taking.

You know that class fees are $98 per credit hour at Westside, then the expression for the dollar amount she paid for her class fees at Westside is:

98w

Since she is taking a combined total of 13 credit hours at the two schools, the credit hours at Pinewood Gina is taking can be represented by this expression:

13-w

You know that class fees are $115 per credit hour at Pinewood, then the dollar amount she paid for her class fees at Pinewood can be expressed as:

115(13-w)

Therefore, the expression for the combined total dollar amount she paid for her class fees is:

total\ paid=98w+115(13-w)\\\\total\ paid= -17w + 1495

6 0
3 years ago
Read 2 more answers
Solve each system by substitution <br> 5x + 7y = -23<br> Y = -2x - 11
Alenkasestr [34]

Answer:

x = −6

Explanation:

5x + 7y = -23

Y = -2x - 11

Substitute -2x - 11 for y in 5x + 7y = -23

5x + 7(−2x − 11) = −23

Simplify both sides of the equation

5x + 7(−2x − 11) = −23

5x + (7)(−2x ) + (7)(−11) = −23 (Distribute)

5x + −14x + −77 = −23

(5x + −14x) + (−77) = −23 (Combine Like Terms)

−9x + −77 = −23

−9x − 77 = −23

Add 77 to both sides

−9x − 77 + 77 = −23 + 77

−9x = 54

Divide both sides by -9

−9x / -9 = 54 / -9

x = -6

6 0
3 years ago
Katie Ward is building a children's playhouse
KengaRu [80]
It depends on the dimensions of the playhouse and what they question is asking.
5 0
3 years ago
There ratio of boys to girls is 17:3 there are 740 people how many boys are there
julsineya [31]
Ratio of boys to girls= 17:3
number of people= 740

to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.

17+3=20

740÷20=37
37×17=629 

answer= 629 
 hope this helps....
 
8 0
3 years ago
Other questions:
  • Identify each function as linear or non-linear<br><br>need help with both
    14·2 answers
  • What are the common factors between 100 50 an 30
    6·1 answer
  • Represent the proportional relationship described with an equation where i equals ice cubes and t equals glasses of tea:
    6·2 answers
  • I dont understand this, please help // geometry
    8·1 answer
  • How many times does 40 go into 190
    13·2 answers
  • Solve All Of Them Please
    7·1 answer
  • 0/1<br> 2(x + 3) + 5y<br> when<br> x= 5 and y= 4
    9·1 answer
  • 3 tacos cost $18. Complete the table to show the cost of 4,5 and 6 tacos at the same rate. Create and fill in the table using th
    5·1 answer
  • What is the slope of the graph shown below? ​
    12·2 answers
  • 4. Hockey: How many hockey teams of 6 players can be formed from 14 players without
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!