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
boyakko [2]
3 years ago
9

Ellie and Morgan go to the movie theater and purchase refreshments for their friends. Ellie spends a total of $36.50 on 7 bags o

f popcorn and 2 drinks. Morgan spends a total of $155.50 on 9 bags of popcorn and 14 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
Ellie:
Total spending = $36.50
Number of popcorn bags bought = 7
Number of drinks bought = 2

Morgan:
Total spending = $155.50
Number of popcorn bags bought = 9
Number of drinks bought = 14

Part 1:
If
P = Price of one popcorn bag
D = Price of one drink
Then,
For Ellie: 7P + 2D = 36.50
For Morgan: 9P + 14 D = 155.50

Set of equations:
7P + 2D = 36.5 --------(1)
9P + 14D = 155.5 ---- (2)

Part 2:
Solving equations (1) and (2)
Multiply (1) by 7 and subtract (2) from resulting equation;
49P + 14D = 255.5
9P + 14D = 155.5
-------------------------
40P = 100
P = 100/40 = 2.5

From eqn (1),
7*2.5 + 2D = 36.5
17.5 +2D = 36.5
2D = 19
D = 19/2 = 9.5

Therefore,
Bag of popcorn costs $2.50 
You might be interested in
A rectangle with a length of x + 5 has a perimeter of 4x + 14.
geniusboy [140]

Answer:

hope this helps you

8 0
3 years ago
B + 5/14 ; b=5/7<br> Help, please
Anna [14]
<h2>Answer: 15/14</h2><h2>_____________________________________</h2><h3>Honey, all you need to do is substitute the value of the variable into the equation and simplify!</h3><h3>To get the answers:</h3><h3>Exact Form:</h3><h3>15/14</h3><h3>Decimal Form:</h3><h3>1.07142857…</h3><h3>Mixed Number Form:</h3><h3>1 1/14</h3><h2>_____________________________________</h2><h3>Hope you have a good day, Loves!~ <3</h3>
7 0
3 years ago
What is the perimeter of this hexagon?
Akimi4 [234]
The answer is A. 46.3 cm
4 0
3 years ago
Read 2 more answers
Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A large
irina1246 [14]

Answer:

The correct options are;

B) The mean and median for the security company are both lower than the mean and the median for the collections performed by other companies

B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees

Step-by-step explanation:

We use the acronym SC for the security company and OC for the other company

SC OC

1.6 1.5

1.8 2.1

1.6 1.9

1.8 2.2

1.7 1.9

1.2 1.7

1.1 2.1

1.2 2.2

1.2 2.2

1.5 1.8

∑x    14.7   19.6

The mean is given by  ∑x/n

n = 10

               SC        OC

∴ Mean 1.47      1.96

The median is the \frac{n + 1}{n} th  \ term

Hence

               SC         OC

Median 1.55         2

Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.

b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.

8 0
3 years ago
What is the measure of the angle
pav-90 [236]

Answer:

it's 60 degree in my thinking

Step-by-step explanation:

hope this is the answer

8 0
3 years ago
Read 2 more answers
Other questions:
  • Gabe can now 2 1/2 acres oflawn in 1 day.how many acres of lawn can he now in 2 1/3 days?
    9·1 answer
  • A store sells 12 cans of soup for ​$18. How much would it cost you to buy 7 cans of soup​?
    15·2 answers
  • The least common denominator of 3/4 and 1/6 is 24. true or false
    8·2 answers
  • Ms. Kale's art students are
    15·1 answer
  • Mr. Blackwell’s company produces nuts and bolts. The total monthly profit for his company was $76,378. The profit earned from nu
    7·1 answer
  • The dimensions of a 7 -cm by 2 -cm rectangle are multiplied by 3 . how is the area affected ?
    6·1 answer
  • G(x) = 5x - 12x2 + 3
    12·2 answers
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    6·1 answer
  • Can y’all please help me
    14·1 answer
  • Construct the sampling distribution of the sample means.?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!