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
melamori03 [73]
2 years ago
14

Taylor and Layla go to the movie theater and purchase refreshments for their friends.

Mathematics
1 answer:
zhenek [66]2 years ago
6 0

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

The price of a drink is $8.50

Step-by-step explanation:

Taylor and Layla go to the movie theater and purchase refreshments

for their friends

  • Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn
  • Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

We need to write  a system of equations that can be used to find the

price of one drink and the price of one bag of popcorn

Assume that the price of each drink is $x and the price of each bag

of popcorn is $y

∵ Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn

∴ 4 x + 9 y = 43 ⇒ (1)

∵ Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

∴ 2 x + 8 y = 25 ⇒ (2)

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

Multiply equation (2) by -2 to eliminate x

∵ -2(2 x) + -2(8 y) = -2(25)

∴ -4 x - 16 y = -50 ⇒ (3)

- Add equations (1) and (3)

∴ -7 y = -7

- Divide both sides by -7

∴ y = 1

- Substitute y in equation (1) to find x

∵ 4 x + 9(1) = 43

∴ 4 x + 9 = 43

- Subtract 9 from both sides

∴ 4 x = 34

- Divide both sides by 4

∴ x = 8.5

∵ x is the price of each drink

∴ The price of a drink = $8.50

The price of a drink is $8.50

Learn more:

You can learn more about system of equation in brainly.com/question/6075514

#LearnwithBrainly

You might be interested in
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How ol
melisa1 [442]
The answer is C. Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.

I hope that helps.
4 0
2 years ago
Add the equations.<br>2x-3y = -1<br>+ 3x + 3y= 26<br><br>​
hichkok12 [17]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

2x-3y=-1 ----> equation A

3x+3y=26 --> equation B

Solve the system by elimination

Adds equation A and equation B

2x-3y=-1

3x+3y=26

----------------

2x+3x=-1+26

5x=25

x=25/5

x=5

Find the value of y

substitute the value of x in equation A or equation B and solve for y

2(5)-3y=-1

10-3y=-1

3y=10+1

y=11/3

8 0
3 years ago
Conrad is cleaning his room. His bookcase has 7 shelves. He put 18 books on each shelf. How many books did Conrad put away? (My
mezya [45]

Answer:10

Step-by-step explanation:

4 0
2 years ago
8−i
GalinKa [24]

Hi Veracity,

Answer:

(2 + i) = 2

Step-by-step explanation:

Multiply the denominator and numerator by the conjugate,

= \frac{(8 - i)(3 + 2i)}{13}

Combine Like Terms,

= \frac{26 + 13i}{13}

Simplify,

= 2 + i

Hope This Helps :)

3 0
2 years ago
If (x+3)÷ 3 = 9 what is x
Sveta_85 [38]

Answer:

x = 24

Step-by-step explanation:

9*3 = 27

27 - 3 = 24

x = 24

7 0
2 years ago
Read 2 more answers
Other questions:
  • For $7.52, you purchased 8 pens and highlighters form a local bookstore. Each highlighter cost $1.09 and each pen cost $.69. Wri
    6·1 answer
  • What are equivalent to 2:9
    5·1 answer
  • Find the slope of the line
    9·2 answers
  • ASAP help me , I will give brainliest​
    9·2 answers
  • Describe how to derive the quadratic formula from a quadratic equation in standard form
    14·2 answers
  • The function f(x) = 30(1.4)x gives the number of bacteria in a science experiment, where x is the number of days after the start
    9·1 answer
  • (02.02 MC)
    10·2 answers
  • Solve for x: one over four (4x + 15) = 24
    13·1 answer
  • Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-line
    13·2 answers
  • Tracey orders Bath &amp; Body Works candles online. Each candle costs $24.95 including tax. A one-time shipping fee of $5.95 is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!