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
stellarik [79]
3 years ago
14

$9 for adults and $6 for children. If the movie theater cashier collects $1719 from the sale of 200 tickets, how many adult tick

ets were sold
Mathematics
1 answer:
Bad White [126]3 years ago
8 0

Hey there!!

We will have to solve this using 2 variables

Let's take the number of adults as ' x '

Let's the number of children as ' y '

The total number of tickets = 200

Let me explain this : If the total number of tickets is equal to 200, then the total number of people is equal to 200

Hence , x + y = 200

$9 for adults

The total cost for adult tickets = 9x

$6 for children

The total cost for children tickets = 6y

The total cost for these tickets = $1719

9x + 6y = 1719

3 ( 3x + 2y ) = 1719

3x + 2y = 573

...................................................................................................................................................

Now we have two equations

x + y = 200 ------------- ( 1 )

3x + 2y = 573 ---------- ( 2 )

Now let's multiply the first equation with 2

2 ( x + y ) = 2 ( 200 ) -------- ( 1 )

3x + 2y = 573

.......................

2x + 2y = 400

3x + 2y = 573

Now let's subtract the first equation from second

- ( 2x + 2y )  = - ( 400 )

3x + 2y = 573

..............................

-2x - 2y = - 400

3x + 2y = 573

x = 173

Hence , the number of adult tickets sold = 173

The required answer = 173

Hope my answer helps!

You might be interested in
for a stem competition julienne constructed a model rocket the rocket can reach an average height of 545 ft. Find the difference
zhenek [66]
We have the following table:
 545-534.2 = 10.8
 545-556.4 = -11.4
 545-554.0 = -9
 545-535.3 = 9.7
 write them as a positive and negative rational numbers
 positive:
 9.7 = 9 7/10
 10.8 = 10 4/5
 negative:
 -11.4 = -11 2/5
 -9 = -9
 the differences from least to greatest
 -11 2/5
 -9
 9 7/10
 10 4/5
8 0
3 years ago
Solve for x: x - 10 = -12<br><br> A. 2<br> B. -2<br> C. 22<br> D. -22
Sindrei [870]
Add 10 to both sides. X is 2. A.
7 0
3 years ago
Read 2 more answers
Write a real-world problem that is solved by an equation and then solve (show work).
ololo11 [35]
A company is selling books. It has to pay $500 to start printing the books, and once they have done that, the books sell at $14.99 each. How many books must they sell to make a profit?

First we would model an equation. X will be the amount of books sold, and Y will be profits (in dollars obv). They had to pay $500 before they could start selling, so we must account for that too.

This equation would be y=14.99x-500 because for every book sold, X increases by 1, increasing Y by 14.99

The answer would be 34 books sold in order to turn a profit. (500/14.99=
6 0
3 years ago
Help please...<br>...<br><br>. . .<br><br>...?
MatroZZZ [7]
S represents the best distance from 1 and 0 to represent 33 1/3%
3 0
3 years ago
Read 2 more answers
Please free fire me k dedo uid 1821384657​
blsea [12.9K]
Yooo finally someone that plays
8 0
2 years ago
Other questions:
  • What is the solution to |3x| (&gt;=) 9?
    13·2 answers
  • Which of these numbers, When rounded to the nearest hundredth, is 0.56? Say all that round to 0.56.
    9·1 answer
  • Consider the following table. Is the relationship proportional? Explain your answer.
    11·2 answers
  • Solve the following problem: a Chevrolet Impala travels 26 mpg in the city. How far will the Chevrolet Impala travel on 14.6 gal
    8·2 answers
  • An irrational number between 5/7 and 7/9 is?
    8·1 answer
  • How do you find a missing side with trigonometry
    11·1 answer
  • A 12.5oz bag of Doritos for $3.79 or a 3oz bag for $1.00
    11·1 answer
  • In 2010, the average person in Mexico used about 5.25 kilowatt-hours of electricity per day. The population of
    13·1 answer
  • Find the surface area of the regular pyramid
    7·1 answer
  • A cone has a surface area of 200 pi square inches. If the radius of the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!