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
GarryVolchara [31]
3 years ago
9

Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. How many adu

lt tickets and student tickets were purchased.
Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

5 adult tickets and 3 student tickets were purchased.

Step-by-step explanation:

Given,

Cost of one adult ticket = $7.25

Cost of one student ticket = $5.50

Total tickets purchased = 8

Total amount spent = $52.75

Let,

Number of adult tickets = x

Number of student tickets = y

According to given statement;

x+y=8     Eqn 1

7.25x+5.50y=52.75    Eqn 2

Multiplying Eqn 1 by 5.50

5.50(x+y=8)\\5.50x+5.50y=44.00\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(7.25x+5.50y)-(5.50x+5.50y)=52.75-44.00\\7.25x+5.50y-5.50x-5.50y=8.75\\1.75x=8.75

Dividing both sides by 1.75

\frac{1.75x}{1.75}=\frac{8.75}{1.75}\\x=5

Putting x=5 in Eqn 1

5+y=8\\y=8-5\\y=3

5 adult tickets and 3 student tickets were purchased.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/1554024
  • brainly.com/question/1560475

#LearnwithBrainly

You might be interested in
Solve the system.<br> y= 22 – 10x + 15<br> y=-10
Yuliya22 [10]

I will try to solve your system of equations.

y=22;−10x+15y=−10

Step: Solvey=22for y:

Step: Substitute22foryin−10x+15y=−10:

−10x+15y=−10

−10x+(15)(22)=−10

−10x+330=−10(Simplify both sides of the equation)

−10x+330+−330=−10+−330(Add -330 to both sides)

−10x=−340

−10x

−10

=

−340

−10

(Divide both sides by -10)

x=34

Answer:

y=22 and x=34Answer:

Step-by-step explanation:

7 0
3 years ago
Students water a plant with the same amount of water for 28 days, if the students use a total of 23.8 L of water over the 28 day
DENIUS [597]
23.8÷28=0.85
0.85 Liters

every liter is 1000 mililiters.
0.85 Liters is 850 mililiters.
7 0
3 years ago
-3x+4=13 SOLVE PLZ! INEQUALITY
arlik [135]
Hi!

What you'll first need to do is subtract 4 from 4 and 13. After doing so, your equation will look like this...

-3x=9

Next, you'll need to divide -3x and 9 by -3. After you've done that, you'll get...

x=-3.

So your answer would be x=-3

I hope this helps!
5 0
3 years ago
Read 2 more answers
A formula for a function y=f(x) is f(x)=x^2-10x,xless than or equal 5. Find f^-1(x) and indentify the domain and range of f^-1(x
evablogger [386]
F(x) =x² - 10x,  f⁻¹(x) =?

1st find the missing square of x²-10x, ==> (x-5)² - 25

y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5

Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}

6 0
3 years ago
Help please I’m not sure how to do this
joja [24]

the answer for this would be the last one. two rays that meet at a end point.

hope this helps!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Ryan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did
    7·2 answers
  • PLEASE ANSWER ASAP + BRAINLIEST!!!!
    12·1 answer
  • The cost, C(x),for manufacturing x units of certain product Is given byC(x)=x^2-20x+35, find the units manufactured at a cost of
    7·1 answer
  • What are the solutions to log Subscript 6 Baseline (x squared + 8) = 1 + log Subscript 6 Baseline (x)
    5·1 answer
  • Help ASAP! ill mark brainliest if correct
    7·1 answer
  • H(a) = 3 - 2a find h(-3)
    8·2 answers
  • Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
    5·1 answer
  • The temperature in Chicago can drop to -25°F. If the temperature increases by 64°F, what will it be now?
    10·1 answer
  • Please help me on this its the last question i will mark brainliest
    8·2 answers
  • Find the area of the figure
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!