Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacobspends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50
for four bags of popcorn and two 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 and the price of a drink,
to the nearest cent.

Answers

Answer 1

Answer: ok lets say
popcorn = x and
drinks = y

Jacob: 2x + 3y = 18.25
Zachary: 4x + 2y = 27.50

ok now you have to use these 2 equations to get the answer

4x + 2y = 27.50 ---> 2y = 27.50 - 4x ---> y = 13.75 - 2x

2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75 One bag of popcorn is $5.75

4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25 One drink is $2.25

Answer 2

Answer:

Answer:

Popcorn costs: $5.75, and drink costs: $2.25.

Step-by-step explanation:

Related Questions

A teacher is having three students take care of 28 goldfish during the summer. He gave some of them to Alaina. Then he gave twice as many Miguel. He gave twice as many to Kira as he gave to Miguel. How many fish did each student get?
What are five ways to determine if a quadrilateral is a parallelogram?
Seriously can any1 help me
Write a decimal equation that has a product of 3.15... Do not use one as a factor
We are interested in the dimensions of a certain square. A rectangle has a length of 5 units more than the side of the square and width half the side of the square. If the two areas are equal, what are the squares dimensions (w+h)?

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is :Parabola
eclipse
circle
hyperbola

Answers

Answer:

The answer is Ellipse

Step-by-step explanation:

Answer:

its not parabola for plato i got it wrong

Step-by-step explanation:

Can anyone explain how to differentiate this ? (2x^2+3)sin5x

Answers

Hello,

(u*v)'=u'v+uv'
u=2x²+3 ==> u'=4x
v=sin 5x ==>v'=cos 5x *5

((2x²+3 sin (5x))'=4x* sin (5x) +(2x²+3)*cos (5x) * 5

What is the midpoint M of that line segment?

Answers

Midpoint of a Line Segment. The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values.

Answer:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Step-by-step explanation:

Please upload the line segment otherwise, you can use the equation above to solve for it.

The ratio of men to women in a certain factory is 3 to 4. There are 222 men. How many workers are there?

Answers

The ratio of men to women in a certain factory = 3:4
The total number of men in the factory = 222
Let us assume the common ratio to be = x
Then
3x = 222
x = 222/3
= 74
Then
The total number of women workers in the factory = 4 * 74
= 296
So
The total number of workers in the factory = 296 + 222
= 518
From the above deduction we can easily conclude that there are a total of 518 workers in the factory.

Johanna is mixing red and blue paint to make purple paint for her bedroom. the amount of red paint and blue paint she needs is directly proportional to each other. if she uses three pints of blue paint and five pints of red paint, it makes the perfect shade of purple to match her bed comforter. johanna wants to make one more batch of purple paint in the exact same shade. if she only has 15 pints of red paint left, how much blue paint does she need?

Answers

3blue/5red=xblue/15red
3 blue x 3=9 blue
5 red x 3= 15 red
so she will need 9 pints of blue paint.

A Grocery store clerk is putting cans of soup on the shelf. she has 12 boxes, which contains 24 cans of soup.altogether, how many cans of soup will the clerk put on the shelves?

Answers

12 boxes
each contains 24 cans of soup
number of cans total=number of boxes times number of cans per box
total=12 times 24
tota=288

answer is 288 cans

Other Questions

There are 8 and 2 over 3pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 5pounds. This would fill ____ and 4 over 18containers

A plane is heading 25° west of south. How many degrees south of west is this plane flying?

Simplify (1/81) to the 1/4 power

Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the sides a and b of ∆ABC is more than 90°? A. area of square c2 = -area of square a2 – area of square b2 + area of defect1 + area of defect2 B. area of square c2 = area of square a2 + area of square b2 + area of defect1 – area of defect2 C. area of square c2 = area of square a2 + area of square b2 – area of defect1 – area of defect2 D. area of square c