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
serious [3.7K]
3 years ago
8

A movie theater sells adult tickets for $6 each. Senior citizens receive a discount of $3. One evening the theater sold 400 tick

ets and took in $2070 in revenue. How many tickets were sold to senior citizens?
Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

Number of senior citizen tickets sold= 110

Number of adults tickets sold= 290

Step-by-step explanation:

<u>First, we need to establish a system of equations:</u>

x= number of adults tickets

y= number of senior citizen tickets

x + y= 400

6x + 3y= 2,070

<u>Now, we isolate x in one equation and substitute the value in the other:</u>

x= 400 - y

6*(400 - y) + 3y = 2,070

2,400 - 6y + 3y = 2,070

330 = 3y

110 = y

Number of senior citizen tickets sold= 110

Number of adults tickets sold= 290

<u>Prove:</u>

290 + 110= 400

6*290 + 3*110= 2,070

You might be interested in
What are the solution(s) to the quadratic equation 9x2 = 4?
Oksanka [162]

we have

9x^{2}=4

Divide both sides by 9

9x^{2}/9=4/9

x^{2}=4/9

Square root both sides

x=(+/-)\sqrt{\frac{4}{9}}

x=(+/-)\frac{2}{3}

so

the solutions are

x1=\frac{2}{3}

x2=-\frac{2}{3}

therefore

<u>the answer is the option</u>

x = 2/3 and x = -2/3

8 0
3 years ago
Read 2 more answers
Laura is bowling 5 games. Her first 4 scores were 99, 81, 90, and 86. To end up with an average score of at least 94, what is th
Alexandra [31]

114

1) Gathering the data

The mean is calculated by adding all the numbers and divided by the number of observations in this case 5.

So, Laura needs to score 114 to get at least 94 as an average.

≥

3 0
1 year ago
Solve this problem 6(3m+-5n+7)=
gizmo_the_mogwai [7]
6(3m + -5n + 7)

Distribute the 6.

6*3m + 6*-5n + 6*7

Simplify each individual term.

18m -30n + 42
4 0
3 years ago
Read 2 more answers
Please help me with this I don’t get it at all
dalvyx [7]
Since this is half a square you would find the volume and then divide by 2 and you will get 280 cubic inches.
3 0
3 years ago
Round your answer to this problem to the nearest degree.
Natasha2012 [34]
Angle B = 45 because 8:120 and 3:45 are equivalent proportions
7 0
3 years ago
Read 2 more answers
Other questions:
  • 14 centimeters to 20 centimeters
    10·1 answer
  • You score 84 points in six games. How much do you score per game
    7·2 answers
  • Write a rule for the sequence. Then find the next three terms.<br><br> 24, 27, 30, 33,
    14·2 answers
  • Use the following function rule to find f(r+4). simplify your answer .. f(n)=n+4
    13·1 answer
  • Kendra has $ 7.35 in nickels and quarters. If she has 15 more quarters than nickels, how many of each coin does she have?
    12·1 answer
  • 7 calculators cost $140.00<br><br> Write this in rate(ratio) and the unit rate<br> Help me please :)
    6·1 answer
  • What is 0.05 expressed as a fraction in simplest form?
    8·2 answers
  • una ferreteria compra 4 bobinas de cable de 200 metros cada una a 2 euros el metro ¿a cuanto debe vender el metro si quiere gana
    8·1 answer
  • Which equation could be used to find the length of the hypotenuse?<br>​
    12·2 answers
  • HELP ME PLSSSSSS...........
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!