SAT High School

A movie theater sells two types of tickets, adult tickets for $12 and child tickets for $8. If the
theater sold 30 tickets for a total of $300, how much was spent on Adult Tickets?

Answers

Answer 1

Answer:

The answer is $180.

Explanation:

Since we have two different ticket types, let's say that adult tickets represent x, and children tickets represent y. In this case, the total price would be 12x+8y that is equal to $300. We have total of 30 tickets, too. Well, then x+y should be equal to 30. Our equation system turns out to this:

12x+8y=300

x+y=30

Since we're finding the x, that is the adult tickets, we need to eliminate y by multiplying the second equation by -8. When you do that,

12x+8y=300

-8x-8y=-240

Now, you can add them.

Those y's will cancel out, and we'll be left with,

12x-8x=60

4x=60

x=15

So we found x. Let's think, the adult tickets price was $12 per. We can say that the adult tickets' price will be,

12x

In this case, 12.15 will be our answer.

It's $180.

Let's demonstrate that we found the right answer,

8y=120

y=15 too.

That assures the second equation that is 15+15=30.

Answer 2

The Amount spent on adult tickets in the movie theater from the given parameters is: $180

How to solve algebra word problems?

Let's assume the number of adult tickets sold is A and the number of child tickets sold is C.

We are given that:

- The price of an adult ticket is $12, and as such the revenue from selling adult tickets would be 12A dollars.

- The price of a child ticket is $8, so the revenue from selling child tickets would be 8C dollars.

- The total number of tickets sold is 30, so A + C = 30.

The total revenue from selling all the tickets is $300.

We can create two equations to represent the above information:

Equation 1: 12A + 8C = 300 (total revenue equation)

Equation 2: A + C = 30 (total number of tickets equation)

Now, let's solve this system of equations to find the values of A and C:

First, we can solve Equation 2 for C:

C = 30 - A

Next, substitute this value of C into Equation 1:

12A + 8(30 - A) = 300

Now, simplify and solve for A:

12A + 240 - 8A = 300

4A = 300 - 240

4A = 60

A = 60 / 4

A = 15

So, 15 adult tickets were sold. To find out how much was spent on adult tickets, we multiply the number of adult tickets (15) by the price of an adult ticket ($12):

Amount spent on adult tickets = 15 * $12 = $180.

Therefore, $180 was spent on adult tickets.

Read more about Algebra Word problems at: https://brainly.com/question/21405634

#SPJ2

Related Questions

The data in the graph support the authors' point in paragraph five (lines 47–58 (“As the new kid on the block, LiDAR has been tacked onto the back end—initially thought of as kind of large-scale helper to field surveys. Carbon estimates from the field have been treated as something inherently closer to the real thing than measurements made by LiDAR—ground “Truth” with a capital “T”. This is perhaps understandable historically, but vis-à-vis actual carbon, there is no such thing as ground truth: both field and LiDAR efforts rely on allometry to convert measurements into carbon estimates. Prior to using these measurements for carbon estimation, they exist as standardized, spatially explicit, archivable and verifiable data—the needed substrate for a REDD*-type accounting program.”) ) about the uses of LiDAR by

Answers

Answer:D

Explanation:

Other Questions
With an understanding of which consumers buy a firm's new products at each stage of the diffusion of innovation process, the firm can adjust its __________ strategy accordingly. Help me please I dont understand I rlly need the answer Is a person who was born on a U.S. military base in another country a U.S. citizen? What kind of citizen is such a person considered to be? Read the sentences.Horses from the ranches gallops in the nearby fields. The horses often chase rabbits, squirrels, or possum.Which is the best way to fix the subject-verb agreement error in these sentences?Change horses to horseChange chase to chasesChange ranches to ranchChange gallops to gallop A mother and daughter press their hands together and then push apart while ice skating. Immediately after they push away from each other, how does the motion of the mother and daughter change? Please help me i dont understandAt the start of the month, the value of Susans checking account was $53. She gets paid $375 per week for 4 weeks and spends $172 on groceries for the month. How much does Susan have in her checking account at the end of the month? what is 25 divided by 7 expressed as a mixed number PLEASE HELP!!! I only have 13 minutes leftWhich of the following statements is true about Immanuel KantA)He argued that a stream of sensations could not qualify as experience unlessthe stream was unified and conceptualized by the mind as the experience ofexternal objects.B) He held that the objective world is an unfolding or expression of infinitethought, and the individual mind is the vehicle of infinite thought reflecting onitself.C)He argued that reality, the Absolute, is not a group of independent particularsor states of affairs, but rather an integrated whole in which each proposition islogically connected with all the rest.D) He based psychoanalysis on the concept that human actions stem not fromrationality but from unconscious drives and instincts in what he called the "id"or "it" part of the self. Does The First Amendment limits the President to two elected terms in office. When comparing two species, the presence of which type of structures indicates descent through modification from a common ancestor Who is believed to have attacked both Egypt and the Hittites Jill purchased 50 game pointsat the arcade for $20. If hewanted to buy 250 gamepoints, how much would hespend? 4 x _ = 10also help me with this plz answer it don't say look it up or use hint Three angles are in the ratio 2 : 3 : 5 The smallest angle is 50 degrees Work out the sizes of the other two anglesPlease be in-depth about it Im so stupid Help someone that knows (Worth 80 points) In effect you get the value for work by multiplying which two values together?A. Space and timeB. Force and distanceC. Mass and speed What is the central idea of the passage? Egyptians believed in many gods. Vegetation was important to Egyptians. The afterlife was part of the cycle of nature. The Nile River was important for their crops. Una cesta de frutas tiene 888 pltanos, 333 naranjas, 555 manzanas y 666 kiwis.For cada 333 kiwis hay 444 \_\_\_\_____\_, \_, \_, \_.Escoge 1 respuesta:Escoge 1 respuesta: How many people did Martin De Leon settle in his original grant?(This is Texas History.) Which step in the writing process do you use to come up with topics and plan ideas for a narrative writing assignment?editingrevisingdraftingprewriting