The theater sells two types of tickets: adult tickets for $15 and child tickets for $3. Last night, the theater sold a total of 334 tickets for a total of $3342. How many adult tickets did the theater sell last night?

Answers

Answer 1

Step-by-step explanation:

An adult ticket will be x.

Each adult ticket costs 15 dollars, so 15x

A child ticket will be y.

Each child ticket costs 3 dollars, so 3y

334 tickets were sold, totaling 3342 dollars.

15x + 3y = 3342 dollars in total.

Unknown number of adult tickets plus unknown number of child tickets equals to 334, so:

x number of adult tickets + y number of child tickets = 334 tickets in total.

x + y = 334

There are two equations in a system.

Use substitution:

x + y = 334

y = 334 - x

And plug it into other equation:

15x + 3(334 - x) = 3342

Solve for x since the question only asked for total number of adult tickets sold at theater (remember x is the number of adult tickets)

15x + (1002 - 3x) = 3342

15x + 1002 - 3x = 3342

Bring all x variables to one side and constants to other side:

15x - 3x = 3342 - 1002

12x = 2340

Divide both sides by 12:

x = 195

With that answer, we can conclude that 195 adult tickets were sold at the theater last night!

ANSWER: 195


Related Questions

Answer Please
If correct you will have good luck for the rest of your life if wrong `slenderman will come and get you.

Answers

Answer:

3x +5

Step-by-step explanation:

Thats it.

*prays its right*

3x+5 is the answer plz no slender man

6.9 + (-5) + 4.1 =
I need help with this problem big time please

Answers

Answer:

6

Step-by-step explanation:

6.9 - 5 = 1.9

1.9 + 4.1 = 6

Answer:

6

Step-by-step explanation:

We need to simplify this equation:

6.9 - 5 + 4.1

The reason why there is a negative sign in between 6.9 and 5 is that + and - become negative.

There is a chart that can help you with this:

+      +      =      +

+      -      =      -  

-      +      =      -  

-      -      =      +  

This will help you with BIDMAS/BEDMAS

0.5 g of salt is equal to how many milligrams??

Answers

Answer:

500mg

Step-by-step explanation:

1g= 1000mg

..5=500mg

Answer:

.5 grams=500 milligrams

Step-by-step explanation:

Nationally, the proportion of red cars on the road is 0.12. A statistically
minded fan of the Philadelphia Phillies (whose team color is red) wonders if Phillies fans are
more likely to drive red cars. One day during a home game, he takes a random sample of 210
cars parked at Citizens Bank Park (the Phillies home field), and counts 35 red cars.
(a) State appropriate hypotheses for performing a significance test. Be sure to define the
parameter of interest.

Answers

Answer:

Null hypothesis: proportion of red Phillies cars is 0.12.

Alternate hypothesis: proportion of red Phillies cars is not 0.12.

Step-by-step explanation:

The scale drawing of a rectangular playground is shown.
27. 24 cm Playground 20 cm
The actual length of the playground is 36 feet. Using the scale drawing of the rectangle, what is the actual width of the playground?

A. 19 feet
B. 30 feet
C. 32 feet
D. 40 feet

Answers

It’s b beacuse of the actual length of the playground is 36 feet using the scale drawing

Restaurant has an early bird special of $7 per plate before 4 PM. The regular price after 4 PM is $9 per plate. If the restaurant sold 93 plates and made $733, how many of those plates were early bird specials

Answers

Answer:

the early bird special plate is 52

Step-by-step explanation:

Let us assume the early bird special be x

And, regualr price be y

Now the equations are

x + y = 93

7x + 9y = 733

Now multiply by 7 in equation (1)

7x + 7y = 651

7x + 9y = 733

Now subtract these two equations

-2y = 82

y = 41

x = 93  - 41

= 52

hence, the early bird special plate is 52

Help me please :(((( I need the formula and faces

Answers

Answer:

for prism

let n= no.of sides of the shape of end face

face=n+2

vertices=2n

edge=3n

atq...shape of prism. F. V. E

triangle n=3. 5. 6. 9

rectangle. 6. 8. 12

Pentagon. 7. 10. 15

hexagon. 8. 12. 18

by puuting value of n in above formulas a for f v and e

could someone me please​

Answers

Answer:

0.12 = 1.1 / 9

Step-by-step explanation:

0.12 (2 with a "hat") = 0.12222222222222222222222

0.12 = 1.1/9

A line that includes the point (10, 7) has a slope of 10 . What is its equation in slope-intercept form?

Answers

Use y = mx + b where m= slope, b = y - intercept

y = mx + b
10 = 3*1 + b
b = 7

y = 3x + 7

Answer:

y=3x+7

Step-by-step explanation:

subtract 7 from 10 to get answer

Find the area of the figure. Single choice.


42 ft squared
60 ft squared
30 ft squared
36 ft squared

Answers

Answer:

42 veya 36........olması gerekir

Translate: Four less than twice a number is
twelve

Answers

The answer is 8
8*2=16-4=12

What 2 numbers multiply to make -48 and combine to make 2?
____ and ___

Answers

-6x8 equals -48 and adds to give you positive two

4 and -12 are equal to -48

Write a function rule for the statement, “The output is 4 less than the input.” Then, complete the table.
Slope:
y-intercept:
equation:

Answers

Answer:5

Step-by-step explanation:

Answers:

Slope:  1y-intercept:  -4equation:     y = x-4y outputs: -4, -3, -2, -1, 0

Those y outputs are placed into the table in the order shown. For instance, -1 goes right underneath the '3'.

========================================================

Explanation:

Let's find the equation first. The function rule is "the output is 4 less than the input". So whatever the input x is, we subtract off 4 to get the output y.

This leads directly to the equation y = x-4

This is the same as saying y = 1x-4 which is in the form y = mx+b

m = 1 is the slope and b = -4 is the y intercept

------------

Once we have the equation, we plug in the given input x values one at a time to find their corresponding y values.

For example, if x = 0, then,

y = x-4

y = 0-4

y = -4

So we have x = 0 pair up with y = -4. We write -4 underneath the 0 in the table given.

Then we write -3 under the "1" in the table because

y = x-4

y = 1-4

y = -3

And so on. Repeat this process until you get to x = 4.

You should have these ordered pairs

x = 0, y = -4x = 1, y = -3x = 2, y = -2x = 3, y = -1x = 4, y = 0

Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old

Answers

Answer:

your  cat will be 12 your friend will be either 16 or 24

Step-by-step explanation:

Friend is 12 years old and cat is 4 years old.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given,

Cat is 8 years younger than your friend

Let age of friend be x

then, age of cat be x - 8

But In 4 years, your friend will be twice as old as your cat

x + 4 = 2(x - 8 + 4)

x + 4 = 2x - 16 + 8

x + 4 = 2x - 8

-2x + x = - 12

x = 12

Age of friend = 12 years

Age of cat = 12 - 8 = 4 years

Hence, 12 years is age of friend and 8 years is age of cat.

Learn more about equation here:

https://brainly.com/question/1529522

#SPJ5

What is the solution to the equation 4x + 2(x – 3) = 3x + x - 12? (1 point)
1)-3
0 2 -1
3) 1
4) 3

Answers

Answer:

the answer to this problem is -3

the question is in image!!!!!! plz answer you’ll get 95 points!!

Answers

Answer:

Option A is correct

Step-by-step explanation:

Given functions f(x) and g(x). f(x) is:

f(x) = x^2 + 4x + 6

Converted into vertex form, it is:

f(x) = (x + 2)^2 + 2

g(x) has vertex at (-2, -14), it's vertex form is:

g(x) = (x + 2)^2 - 14

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

Answer:a

Step-by-step explanation:

Did it

7 5/8 =____
+6 6/7=+____
____= ____

Answers

7 5/8 + 6 6/7= 14 27/56

Please help it's due today. Also please don't help if you don't know.​

Answers

Answer:

[tex] {x}^{16} {y}^{22} [/tex]

Step-by-step explanation:

multiple the top exponents by 3 and the u subtract the bottoms

Jessica loves to walk. She walks 3 miles each day. If she wants to walk a total of 57 miles how many days should she walk? Write an equation to show this problem along with the answer. *PLEASE SHOW WORK

Answers

Answer:

the answer is 57÷3 =19 days

Chris had 30 dollars to spend on 3 gifts. He spent 9 7 10 dollars on gift A and 3 2 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

4 dolars left

Step-by-step explanation:

im smart

What is the percent of decrease from 100 to 23?

Answers

Answer:

77% decrease

Step-by-step explanation:

100 - 23 is 77. it makes it easier since the start number is 100!

Monica and Lauren plan to buy some of their dry ingredients (particularly flour, sugar, and

baking soda) in prepackaged containers. Each container with the three dry ingredients weighs

22 pounds. The weight of the sugar in each container is 2 times the amount of baking soda.

Also, there are 14 pounds more flour than baking soda in each container.

The girls want to calculate the weight of baking soda in each container, but they claim that the

necessary equation is impossible because it has infinitely many solutions.

Identify an equation that proves the girls' claim is wrong and explain why that equation does not

have infinitely many solutions.

Answers

Answer:

Weight of baking soda in each container  = 2 pounds

Weight of sugar in each container = 4 pounds

Weight of flour in each container =  16 pounds

Step-by-step explanation:

As given,

Let the weight of baking soda in each container  = x pounds

Given that,

The weight of the sugar in each container is 2 times the amount of baking soda.

⇒ Weight of sugar in each container  = 2x

Also given,

There are 14 pounds more flour than baking soda in each container

⇒Weight of flour in each container = 14 + x

Now,

Given that each container with the three dry ingredients weighs  22 pounds.

⇒ x + 2x + 14 + x = 22

⇒4x + 14 = 22

⇒4x = 22 - 14

⇒4x = 8

⇒x = [tex]\frac{8}{4}[/tex] = 2

∴ we get

Weight of baking soda in each container , x = 2 pounds

⇒Weight of sugar in each container , 2x = 2(2) = 4 pounds

and Weight of flour in each container , 14+x = 14 + 2 = 16 pounds

As we have found the value of x is unique , so it can not be possible to have infinite solutions. So, the girl's claim is wrong.

78 is 30% of what number?

Answers

Answer:

260

Step-by-step explanation:

100% of 260 is 260, therefore 30 percent of 260 equals 78.

260 is the correct answer!78 ÷ 0.3 = 260Please let me know if I am wrong.

What is 12% of 36?(finding a part of a whole)

Answers

Answer:

4.32 is 12% of 36

Step-by-step explanation:

7. sınıf kaynak öner misiniz ?​

Answers

Answer:

Hayır, maalesef sınıf başvurum yok

Step-by-step explanation:

There is more than 1 way to name a ray

True or false

Answers

true for example a ray is using it’s endpoints first & then any other point on the ray (—> BA

Please help me answer #2 and #3.

Answers

Answer:

#2 - Definition of midpoint

#3 - Vertical Angles Theorem

PLEASE HELP ME PLZZ I WILL MARK BRAINLEIST PLZ

Answers

Answer: C= 24

B= 4

Step-by-step explanation:

The ratio between the two triangles is 1:2

C = 12 × 2 = 24

B = 8 ÷ 2 = 4

Answer:

side C = 24

Step-by-step explanation:

8/16 = 12/C

8C = 12(16) = 192

divide both sides by 8

C=24

What is the Length of x?

Answers

Answer:

3.17

Step-by-step explanation:

2.5/1.5 = 1.66667, 1.66667 (it goes on infinitely 1.6666 etc.)

1.66667 x 1.9 = 3.166666654, and when rounded to nearest tenth it is 3.17

10-+19 please be quick lol

Answers

Answer:

Are u asking what 10 +19 is its 29

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