A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?

a. 55 senior tickets
b. 150 senior tickets
c. 195 senior tickets
d. 255 senior tickets

Answers

Answer 1

Answer: 55 senior tickets

Step-by-step explanation:

Answer 2

The tickets that were sold to senior citizen is 55.

What is System of equations?

When two or more equations are solved together and the solution satisfies all the equation , then the set of equation are termed as system of equations.

It is given in the question that

A movie theater has 400 seats

Tickets at the theater cost

$8 for students

$7 for senior citizens

$10 for adults

All the tickets were sold

Total revenue made from sales = $3,535

If the number of adult tickets sold was 10 less than the number of student and senior tickets combined

Let the ticket sold to students = x

Sold to senior citizen = y

Sold to adults = z

z = (x+y) - 10

x+y+z = 400

x+y+x+y-10= 400

2(x+y) = 410

x+y = 205

z= 205-10

z = 195

8 *x +7*y +10*z = 3535

8x+7y +1950 = 3535

8x+7y = 1585

x+y = 205

8x+8y=1640

y =55

Therefore the tickets that were sold to senior citizen is 55.,

To know more about System of equations

https://brainly.com/question/12895249

#SPJ2


Related Questions

In the figure below, O is between Mand P, and N is the midpoint of MO. IF NO = 3 and MP=10, find OP.
show work please and you will get brainliest✌

Answers

Answer:

4

Step-by-step explanation:

Since N to O is 3 and N is the midpoint of MO then M to N would be 3 as well. So that means M to O is 6 leaving 4 left.

I’ll PayPal someone if they do this question

Answers

Answer:

bet. ...... ....... ...........

Answer:

a)1

b)9/-4

c)1/3

d)3

e)-3/2

f)-11

Solve for the red variable

Answers

Answer:

1/3 Bh = V

Step-by-step explanation:

B = 3 V / h

Multiply each side by h

Bh = 3 V / h *h

Bh = 3V

Divide each side by 3

1/3 Bh = 3V/3

1/3 Bh = V

6x4 + 15x3y2 + 3x2y3​

Answers

Answer:

24x+9+5y

Step-by-step explanation:

you just add all the like terms

the two angles formed as a result of a bisector will always be

Answers

First of all, In an angle bisector, it is a line passing through the vertex of the angle that cuts it into two equal smaller angles.

Solve 5x^2 = 180 algebraically

Answers

Answer:

x =± 6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5/5x^2 = 180/5

x^2 =36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x =± 6

Solve for x: (x+4) over 3 = 2​

Answers

so x I think is 2.I hope it helped

Assume the following statement is true:
If Rose chooses the fourth answer correctly, then she will go to the bonus round.
Now assume that:
Rose went to the bonus round. What conclusion can be made?

Answers

she answered the 4th correctly


Which equation could you use to solve for x in the proportion 4/5=9/x?

Answers

Answer:

11.25

Step-by-step explanation:

Step 1:

4/5 = 9/x   Proportion

Step 2:

4x = 45    Multiply

Step 3:

45 ÷ 4     Divide

Answer:

x = 11.25

Hope This Helps :)

Answer:

[tex]\frac{4}{5} =\frac{9}{x}[/tex] or [tex]x = \frac{9*5}{4}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} =\frac{9}{x}[/tex]

[tex]9*5 = 45[/tex]

[tex]45=4x\\[/tex]

[tex]x=11.25[/tex]

30 ounce box of cerebral contains 12 servings

Answers

Answer:

okay?

Step-by-step explanation:

is that supposed to be like is that true or false or am I just not understanding if that's a question or not

A travel agency has two deals for an all-inclusive vacation plan a is $238 a day plan B's vacation package fee of $1,000 and Resort fee of $35 a day write and solve an equation to determine the number of days you would need to stay to make plane be the better deal

Answers

Given :

A travel agency has two deals for an all-inclusive vacation plan A's is $238 a day.

Plan B's vacation package fee of $1,000 and Resort fee of $35 a day.

To Find :

The number of days you would need to stay to make plane be the better deal.

Solution :

Let, after x days plan B is better deal .

So,

[tex]1000+35x<238x\\\\203x > 1000\\\\x>4.93 \ days[/tex]

Therefore, from 5th day plan B is a better deal.

Hence, this is the required solution.

2 1/2 ÷ (−1 3/4)= ??

Answers

Answer:

-10/7   or - 1 3/7

Step-by-step explanation:

Make improper fractions

5/2 / -7/4

multiply by the recriprical

5/2 * -4/7 = -20/14    Reduce  

-10/7   or - 1 3/7

The ratio of students to faculty members in high school is 23:5. If there are 80 faculty members, how many students are there

Answers

Answer: 368

Step-by-step explanation: 80 divided by 5 is 16, so you would use 16 to find out how many students there are. To do that, you have to do 23 times 16, which is 368. Hope this helps!

Translate the algebraic expression in written language: 9 - x²​

Answers

Answer:

nine minus x square

2x^2 + 108 = 42x NEED HELP SOLVING QUADRATIC EQUATION

Answers

Answer:

x = 18

x = 3

Step-by-step explanation:

2x² - 42x + 108 = 0

common factor is two, so take it out to simplify equation

2 (x² - 21x + 54) = 0

0/2 = 0

x² - 21x + 54 = 0

Factors of 54 which add up to 21 is 18 and 3

(x - 18)(x - 3) = 0

Hence,

x = 18

x = 3

Find the solution of the equation from the given numbers.
X - 19 = 12: -11, 31, -5 or -7

Answers

Answer:

31 is the answer.

Step-by-step explanation:

calculator

3 point
Three partners are investing a total of $600,000 to open a software
company. Their investments are in the ratio 2:3:7. How much does the
partner who invested the most contribute? *
Your answer

Answers

Answer:

$350,000

Step-by-step explanation:

600,000/12=50,000

50,000*2=100,000

50,000*3=150,000

50,000*7=350,000

1346575789-2245+9897865670+2323231 divided by 3334-888334=

brainiest to first person that is right

Answers

Answer:

11243551576.8

Step-by-step explanation:

Answer:

1.12435516E10

Step-by-step explanation:

i went on a caulculater

(f-7)/g=h, for f i need help

Answers

Answer:

f = hg + 7

Step-by-step explanation:

Step 1: Write equation

(f - 7)/g = h

Step 2: Solve for f

Multiply both sides by g: f - 7 = hg

Add 7 on both sides: f = hg + 7

Cody was looking at his streaming music stats. The Ratio of songs he liked to disliked was 5:6. If he listened to 1,078 songs total how many did he like? Pls help

Answers

1078 / (5+6) = 98
Like - 5 x 98 = 490
Dislike - 6 x 98 = 588

Is the line y=3x-7 parallel or perpendicular to 3x+9y=9? Explain your answer

Answers

Answer:

The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (–1/3)x + 1. The slope of the given line is 3, and the slope of the second line is –1/3. These have a product of –1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

Step-by-step explanation:

I don't need to explain.

It is perpendicular. Because 3x + 9y = 9 in slope-intercept form would be -1/3x + 1, -1/3x would be the opposite of 3x. Therefore, it is perpendicular.

But if you want the sample response instead, here you go

Sample Response: The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (–1/3)x + 1. The slope of the given line is 3, and the slope of the second line is –1/3. These have a product of –1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

is the decimal 4.05 equivalent to the fraction
[tex] \frac{401}{99} [/tex]

Answers

Answer:

No, 81/20 or 4 1/20

Step-by-step explanation:

Step 1:

4.05 = 405%   Convert

Step 2:

405% = 405/100  Convert

Answer:

81/20 or 4 1/20    Simplify

Hope This Helps :)

Some one please help me with this geometry problem ASAP

Answers

Answer:

43.5

Step-by-step explanation:

Set it up like 3x-5+x+1=180. Combine the variables and the numbers without a letter next to it. 4x+6=180. Subtract 6 from 180. Divide that number by 4.

Can someone plsss help :)

Answers

Set equal to eachother
(2x+1) = 79
Subtract 1 from both sides
2x=78
Divide 2 from both sides
2x/2=78/2
X= 39

A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season? In the entire season, the basketball player would score points.

Answers

Answer:

the awnser is 300

Step-by-step explanation:

Answer:

300 points

Step-by-step explanation:

What does the symbol "kg" represent in the metric system?
A. 1,000 grams
B. 100 liters
C. 10 meters
D. 1 degree Celsius

Answers

I’m pretty sure it’s A . 1,000 grams

Answer:

A.1000 grams

Step-by-step explanation: one kilogram is converted into 1000 grams

Find the value of x so that the function has the given value.
h(x) = -7x; h(x) = 63
X=

Answers

Answer:

x=-9

Step-by-step explanation:

-7 times -9 = 63

ight if you need help on simple units tell me ill help u

Answers

Answer:

Step-by-step explanation: Just find the question and answer it, its simple. lol

Answer:

i-

Step-by-step explanation:

okay then-

~Astral because I'm logged into Sakura's account >:3 (she's gonna murder me but it's worth it!)

Decide
10w
roots the equation
322 - 24z +48

Answers

Answer:

-34z + 370

Step-by-step explanation:

322 - 24z + 48

(322 + 48) - 34z

370 - 34z

Best of Luck!

O que é uma divisão finita?

Answers

Step-by-step explanation:

qué quieres decir con eso

Other Questions
Yasha is going to invest $3500 for six years. She is going to invest in a savings accountthat promises an APY (Annual Percentage Yield) of 8%. Rounded to the nearest penny,how much will this investment be worth? What is the slope of the line through (1,0) and (3,8) Ana buys a toolbox, drill set, and socket set. She spends a total of $564.45 after tax, and the tax rate is 6%. What was the total price before tax? How did the Greeks benefit form colonization?Population decreased.O Trade declined.Trade and culture expanded.Colonization had no benefit.Pls helppppp 8. You are a bakery chef. You have ordered14 pounds of green apples and 9 pounds ofred apples. You have also ordered twice as manyyellow apples as red. You used 26 pounds ofapples for pies. How many pounds of applesdo you have left?+ One particle has a charge of 2.15 x 10^ -9 while another particle has a charge of 3.22 x 10^ -9 If the two particles are separated by 0.015 m, what is the electromagnetic force between them? A. 4.31 x 10^ -7 N B. 2.77 x 10^ -4 N C. 4.15 x 10^ -6 N D. 6.22 x 10^ -4 N 184.369,027.83Which number has the smaller value of the 8? How many timessmaller is it? here is the big boy come and get this pot i do more of this. describe yourself as an artist Mia may account answers Consider the system of equations, y = f(x) and y= g(x), wheref(x) = 11x-7 and g(x) = 3x + 17.Which method would you use to solve this system of equations? Explainyour reasoning and provide the solution to the system. 11. Los empleados no_____en la oficina. Where did Queen Hatshepsut expand Egyptian trade routes?into the Eastern Desertinto the Western Desertinto the Sinai Peninsula of the Middle Eastinto the eastern Mediterranean and Nile Valley there are 4 possible first steps for solving 4x - 3 = 9 -5x a 2-lb bag for $5.39a 5-lb bag for $12.99Which size bag is the best price per pound? HELPP!!!Early European explorers searched North America's coast forO A new species of plants and animals.O.a shorter route for ships to reach Asia.OCopportunities to trade for fur.O D. silver and gold. Someone pls help, I can't figure these problems out, I'm giving all of my brainly A bee colony produced 0.4 pounds of honey, but bears ate 0.2 pounds of it. How muchhoney remains? What would happen if a hot piece of iron were placed in a bucket of water at room temperature? How do you know? Note* this is a science answer so won't get confused if its a math question why we should lower the voting age