Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206. Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231. What is the cost for a small bucket and a large bucket of popcorn?

Answers

Answer 1

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13


Related Questions

PLEASE HELP ME I'M BEHIND ON MY MATH AND I CAN'T FIND ANY ANSWERS!!! :(


Two banks offer to loan you money for a big purchase. How would you use your knowledge of simple interest to determine which loan to choose for this purchase?


(20 points)

(Written Response)

( E d g e n u i t y 2021)

(Mathematics 7 A)

(Journal Activity JAN 05.)


** Please answer to this if you did it already did this assignment already..! I'm behind on my math and I can't find any thing to help me out! **

Answers

Answer:

you would see which bank has a good business and have loyal customers and which one is giving you a better offer

Step-by-step explanation:

HOPE THIS HELPED!

Answer:

e.

Step-by-step explanation:

subtract f from g, then subtract 4 from the result

Answers

Answer:

(g - f) - 4

Step-by-step explanation:

Subtract f from g = g - f

Subtract 4 from the result = (g- f) - 4

Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results? Select three options. increase the sample size choose students from different grade levels choose every fourth student in all language arts classes decrease the sample size choose students whose answer to the survey question is predetermined

Answers

Answer:

- increase the sample size

- choose students from different grade levels

- choose every fourth student in all language arts classes

Your welcome :]

The three options are

increase the sample sizechoose students from different grade levelschoose every fourth student in all language arts classes

The following information should be considered:

For increasing the result validity, the sample size should be increased. The students should be selected from the distinct grade levels.Also every fourth student for all types of language should be selected.

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Help me pls ASAP thank you have a great day!!

Answers

Answer:

Dude like I just answered the previous question. Try doing it by yourself. Lol

What value of x makes the equation below true? −2x=−36 A x=−34 B x=−38 C x=−18 D x=18

Answers

Answer:

D x = 18

Step-by-step explanation:

Given equation:

−2x = −36

Divide both sides by -2 to find x

−2x / -2 = −36 / -2

x = −36 / -2

x = 18

x = 18 makes the equation −2x = −36 true


4 km
3 km
What is the length of the hypotenuse?

Answers

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

Which of the following equations , in it's simplest form , will be equivalent to 3x+2+(-5)?

A: 2+3x+5. B: x-1+x-2+x C: -3-3x-1+x
D: 3-3x

Answers

Answer:

The correct answer would be B: x-1+x-2+x

Step-by-step explanation:

First, you would do 2+(-5), from the given equation. Then, it could be simplified to 3x-3. Then, looking at B, you would add the like terms, meaning you would add all the x´s together, and the whole numbers together, giving you 3x-3. I hope I made this easy to understand for you!

from least to greatest 42%,0.43,17/40

Answers

The answer is this

42%, 17/40, 0.43

Help due today will give brainlist

Answers

Answer:

4 fancy and 5 plain

Step-by-step explanation:

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

Find the sum:
413+11 12
0 15 15
0 1513
0263
48-15

Answers

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

Bill runs 400 meters to Andy's house,turns around,and runs 400 meters back home.what was bill displacement?

Answers

Answer:

speed = distance/time

= 400/267

= 1.49

1.5

i hope this is right lol  good luck

Answer: it is going to be 0 because he turn around and run back so his displacement is going to be 0

Step-by-step explanation:

The graph of -1.5x - 3y = -6 is shown on the coordinate grid.

Which ordered pair is in the solution set of -1.5x - 3y ≤ -6?

A. (2,0)
B. (-1, 2)
C. (-2,3)
D. (3,-2)​

Answers

Answer:

C.). (–2,3)

Step-by-step explanation:

This solution is on the graphed line, so it is a solution.

If we substitute values from the other coordinates given, all below the line, the results are false

What is the equation of the line that passes through the point (6,-5)

Answers

Answer:

y= -3/2x + 4

Step-by-step explanation:

hope this helps :)


b) Draw the graph of y = 3x - 1
on the grid.

Answers

Step-by-step explanation:

b)

make it braintliest please

-2 (-3x + 5)-2(x+4)
x= -2

please solve it fast​

Answers

Answer:

-26 should be the answer.

Step-by-step explanation:

-2 (-3x + 5) - 2 (x + 4)

-2 (-3(-2) + 5) - 2 ((-2) + 4)

-2 (6 + 5) - 2 ((-2) + 4)

-2 (11) - 2 ((-2) + 4)

-2 (11) - 2 (2)

-22 - 2 (2)

-22 - 4

-26

Really need this B is perimeter D is volume if you couldn't see it.​

Answers

Answer:

B

Step-by-step explanation:

yea

Answer:

a) area

Step-by-step explanation:

well you just need to find the carpet area. carpet is just for the floor, so you don't need the perimeter, volume is for 3D figures, and surface area is for the outside of an object. carpet is a 2D figure, so the answer is a) area :)

hope this helps!

Work out the value of angle X
Give reasons for your answers
Pls reply asap

Answers

Answer:

x = 60

Step-by-step explanation:

The value of x is 60

firstly, what we have is an equilateral triangle

For an equilateral triangle, the measure of the angle is 60

Now, looking at one of the angle at the base, we can see that the measure of angle x is an alternate angle to one of the angles at the base

10x + 6у = 16
- 10x + 5 = 50

Answers

Answer:

nope it is 10x +6y = 16 that one was correct but the other was -10x + 5 = -5

Step-by-step explanation:

I NEED HELP ASAP MARKING PERIOD CLOSES TMRW AND I HAVE THIS QUESTION I DON'T KNOW HOW TO DO!!!!!
Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years. How much will be in the account after the 10-year period?

Answers

Answer:

3250

Step-by-step explanation:

Multiply 5,000 times 6.5 percent

                     5000 X 6.5% = 3250

hope this helps!!:)

The sum of 5 consecutive even numbers is 100.
What is the first number in this sequence?

Answers

Answer: The number is 16

Which is the graph of y=3/4x-3?
Graph C
Graph B
Graph A​

Answers

I believe it’s graph c :)
Graph A

Because from the y- interest which is -3, doing the slope rise over run. In this case it’s 3/4. From the y- interest you go up 3 and right 4.

plzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

9x square -12x+4 is the answer.

Step-by-step explanation:

Apply the a+b whole square formula. a square + 2ab + b square

9x square -12x+4 is the answer.

A utility company burns coal to generate electricity. The cost of removing a certain percent of the pollutants from the smokestack emissions is typically not function. That isif it costs C dollars to remove 25% of the pollutants. would cost more than dollars to remove 50% of the pollutants. As the percent of removed pollutants approaches 100 %, the cost tends to become pro . Suppose that the cost C (in dollars) of removing p % of the smokestack pollutants

Answers

Answer:A utility company burns coal to generate electricity. ... b) Find where the function is undefined. c) Interpret the meaning of the vertical asymptote. As the company attempts to remove higher amounts of the pollutants, the cost rises, and ... and they will successfully be able to remove 100% of the pollutants.

Step-by-step explanation:That is, if it costs dollars to remove 25% of the pollutants, it would cost more than ... The cost (in dollars) of removing percent of the smokestack pollutants is given by ... How much additional expense is the new law asking the utility company to ... The graph of this function is shown in Figure 3.56. ... C 80,000 85 100 85 p 100.

• Mrs. Alvarez rents skis and poles for 3 days.
What is the total cost of the rental?
• The total cost of the rental is $

Answers

The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.

How to calculate the total loan cost of Ski equipment?

To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.

For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.

$2 x 24 = $48

$48 x 3 = $144

Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.

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I WILL GIVE BRAINLIEST!!!!
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.

What is the best prediction of the hummingbird population in the year 2016?

Enter your answer, rounded to the nearest integer, in the box.

The hummingbird population will be

Answers

Answer: 4983

Step-by-step explanation:

Initial population P=5500

Population declining at the rate of 1.4%

So, in the year 2010 population is

[tex]P=5500-5500\times1.4\%=5500(1-1.4\%)[/tex]

For the year 2011

[tex]P=5500(1-1.4\%)^2[/tex]

similarly, for the year 2016

no of years passed 2016-2009=7 years

[tex]P=5500(1-1.4\%)^7[/tex]

[tex]P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983[/tex]

Malcolm has $3600 dollars in his account and makes automatic $600 monthly
mortgage payments.

Answers

Answer:

I do not know if dividing or multiplying or addition

if its divideing = 6

If your doing math of addition and there is a certain amount of months add 600 to 3600 Till you add how many months there were

Step-by-step explanation:

Colton wants to ride his bicycle 53.2 miles this week. He has already ridden 10 miles.
If he rides for 6 more days, what is the average number of miles he would have to ride
each day to meet his goal?

Answers

Answer:

About 7 miles a day?

Step-by-step explanation:

53.2-10= 43.2

43.2 divided by 6 is  about 7.6. I’m just in middle school though :)

Colton will have to ride 7.2 miles per day on other to hit his target.

Total miles to ride = 53.2

Miles ridden already = 10 miles

Number of miles left to ride = (53.2 - 10) = 43.2 miles

Number of days left to ride = 6 days

The average ride per day will be:

Number of miles left ÷ number of days (43.2 ÷ 6) = 7.2 miles

Hence, Colton will have to ride 7.2 miles each day.

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select the equation and the solution for the problem. let ( X ) represent the unknown number. a total of 48people in a sports team are riding 6 vans. how many people are riding in each van is carrying the same number of people.
(A) 48x = 6 ( x = 1/8
(B) 6x = 48 ( x = 8
(C) x + 6 = 48 ( x = 42)
(D) x - 6 = 48 ( x = 54)

Answers

Answer:

B

Step-by-step explanation:

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

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