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
gregori [183]
2 years ago
5

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

nks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink and a large popcorn?

Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

You might be interested in
PLEASE HELP ME what is the solution to the system of equations?
masha68 [24]
Times the bottom equation by -4 to cancel out the x’s.
Add the equations.
Solve for y.
Plug in y to find x.

8 0
2 years ago
I need help, someone help me, please
lara [203]

Answer:

(a): 46 degrees

(b): 63 degrees

(c): 27 degrees

(d): 60 degrees

Step-by-step explanation:

6 0
2 years ago
Help please this is confusing and also show your work
liq [111]

Answer:

B

Step-by-step explanation:

Volume is length · width · height, so you can add another column with the volumes:

8

9

6

3

Then you see that 9 is the highest volume.

4 0
2 years ago
I need help please!!!!
Luba_88 [7]
The first two is wrong, the last two is one of the right ones, I think it’s c
3 0
3 years ago
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
irina [24]

Answer:

<h3><X = 63</h3>

Step-by-step explanation:

USing SOH CAH TOA

sin theta = opposite/hypotenuse

sin <X = WV/VX

sin <X = 8/9

<X = arcsin(8/9)

<X = arcsin(0.8889)

<X = 62.7 degrees

Hence the value of x is approximately 63degrees

7 0
2 years ago
Other questions:
  • Find a number that is between 8/11 and 0.85(repeating) .
    11·1 answer
  • PLEASE HELP ME ON THIS!!
    14·1 answer
  • Can some please help and explain your steps thanks
    12·1 answer
  • Can someone help me in this question
    14·2 answers
  • Directions - Write The Correct Number In Each Blank To Show The Community Property Of Addition.
    5·1 answer
  • Write an equation for a direct variation that includes the point (2,-6)
    10·2 answers
  • Select the gcf of these numbers. 25 · 5· 11 and 23· 52 · 7 a 2^2 · 3
    13·1 answer
  • Linda opened a savings account with $450. She saves $225 per month. Joe opened his savings account the same month with $750. He
    10·1 answer
  • 37. Find the area of each square below. ​
    6·1 answer
  • Bridget ate brunch at a restaurant. The bill came to $28. If she left a 20% tip, how much
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!