Draco and his friends bought Bertie Bott's Every Flavor Beans for $3 per packet and chocolate frogs for $1 per packet at Honeydukes. They spent a total of $54 to buy a total of 36 packets of Beans and frogs.

Part A: Write a system of equations that Draco can solve to find the number of packets of Bertie Bott's Every Flavor Beans and the number of packets of chocolate frogs that he and his friends bought at Honeydukes. Tell what the variables used in the equations represent. (5 points)

Part B: Solve the system of equations from Part A to find out how many packets of chocolate frogs and Bertie Bott's Every Flavor Beans Draco and his friends bought and write the answer in (x, y) form. Tell which method you used to get the answer, and explain why you selected that particular method to get the answer.

Answers

Answer 1

Answer:

Part A: x + y = 36, 3x + y = 54

Part B: (9, 27), I used subtraction to solve the system, because it eliminated the "y" value, so it would be easiest to solve.

Step-by-step explanation:

Amount of Bean Packets: x

Amount of Frogs: y

We are given that:

x + y = 36

3x + y = 54

This is the answer to answer A.

To solve, use subtraction. Subtract:

3x + y - (x + y) = 54 - 36

3x - x + y - y = 18

2x = 18

x = 9

Substituting x = 9 into x + y = 36, we find that y = 27

In (x, y) form, substitute x = 9 and y = 27 to get (9, 27)

I used subtraction to solve the system, because it eliminated the "y" value, so it would be easiest to solve.

Related Questions

If 4x - 8 = 4 , find the value of x

Answers

Answer:

x=3

Step-by-step explanation:

4x-8=4

4x=12

4x/4=12/4

x=3

Answer:

x = 3

Step-by-step explanation:

Add 8 to both sides.

4x = 4 + 8

Simplify 4 + 8 to 12.

4x = 12

Divide both sides by 4.

x = 12 ÷ 4

Simplify 12 ÷ 4 to 3

x = 3

If−3x − 7 = 23, then 6x =_____?

Answers

Answer:

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

Which is closest to the height of the building?
(Round to nearest tenth

Answers

Answer:

[tex]let \: it \: be \: x \\ \cos(70 \degree) = \frac{12}{x} \\ x = \frac{12}{ \cos(70 \degree) } \\ x = 35.1 \: ft[/tex]

[tex]height = \sqrt{ {35.1}^{2} - {12}^{2} } \\ = \sqrt{1088.01} \\ = 33.0 \: ft[/tex]

HELP ME PLEASE

Explain to Raven what she did correctly in the first two problems that she did not do in the last problem, and how to correct her mistake

Answers

Answer:

She changed the symbols in the first two problems because they were divided by a negative number whereas she shouldn't have changed the symbol in the last problem as it was not divided by a negative number and so the sign remains the same.

Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture

Answers

Answer:

187.5 pounds

Step-by-step explanation:

Fraction of sand = 2/5

Fraction of clay = 2/5

Fraction of peat = 1/5

Pounds of sand = 75

The total pounds of soil required to make Correct mixture : let that be x

Hence,

Using the sand Fraction and pounds which we know :

2/5 of x = 75

2x / 5 = 75

Cross multiply :

2x = 75 * 5

2x = 375

x = 375 / 2

x = 187.5

Required pond of sand =187.5 pounds

Can you help me with this

Answers

Answer:

3 and 4

Step-by-step explanation:

PLEASE HELP ME !!¶∆¶

Find the ratio of the given Sin A.

Answers

Answer:

5/13 ft

Step-by-step explanation:

If you remember that Sin is opposite over hypotenuse then the opposite of angle A is 5 and the hypotenuse is 13 so it would equal 5/13.

what do u add to 5 5/8 to make 9 ?

Answers

Answer:

5+5=9and mark me as brainlestttt

Answer:

27/8

Step-by-step explanation:

9 - 5 5/8 = 27/8

what is the speed of a bus that travels 350km in 5 hours

Answers

Answer:

We need to make it a unit rate.

350/5

70/1

70km per 1 hour

Answer:

70km

Step-by-step explanation:

350÷5 =70

What is the sum of the interior angles of the polygon shown below?

Answers

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

The answer would be 540 if it’s correct let me know!

hELP help help help help

Answers

Answer:

the answer is not here

Step-by-step explanation:

because for it to 5 decimal place there need to be 5 numbers after the point

HELP ME . Help me please

Answers

Answer:

Top right corner

Step-by-step explanation:

1.

For which value of x is the row in the table of values incorrect? The function is the quadratic function y = 5x2.

A. x = 3

B. x = 2

C. x = 0

D. x = 5

Answers

Answer:

A. x = 3

Step-by-step explanation:

0 times 5 = 0

2 times 5 = 10

3 times 5 = 15 then its 75

5 times 5 = 25 then its 125

it never equals to 45 for 3

you have to do it to the power of 2 for 3 and 5

Can someone please tell me the answer and explain how to do this, no links please thank you

Answers

If this is work out the gradient then here:

Step-by-step explanation:

3-0= 3

2-(-2)= 4

3/4= 0.75

Equation of a gradient is [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Write the equation x+5y=5 in slope intercept form.

Answers

Answer:

y=-1/5+1

(negative one over 5)

Step-by-step explanation:

Emily earns $15 for each car she washes. Create an equation to represent the relationship between the numbers of cars washed c, and the amount, in dollars,Emily earns,m. HELP!!

Answers

Answer:Im not sure but btw the state test just is on how your teacher teach you and the school if u do bad it affects the school but don’t purposely not try this is what i put for the answer

Step-by-step explanation:10c 15m hopw it helps!

HELP ME [QUESTION IN IMAGE]

Answers

C, I hope this helped!

Can someone help me on this?

Answers

Answer:

b^-6+11

b^5

Step-by-step explanation:

answer to your question is b^5

Can someone explain how to do this? I keep getting it wrong

Answers

Answer:

Step-by-step explanation:

in order to find the measurements of all the angles you must find x and to find x you have to realize that the total sum of a triangle inner angles is 180 so you add all those together (48+x+x-44=180) and then if you solve that it gives you 2x+4=180 and then simplify 2x=176 and then x=88

then you plug x into the angles in order to find out the actual measurements

so a is obviously 48 but then b is equal to x which isequal to 88

and then for c it will be x-44 so its 88-44 which equals 44 and that is your answer

if you want to double check take all of your answers and see if they add up to 180

CAN SOMEONE HELP ME WITH THESE 2 questions please don’t answer if u don’t know !! Will mark u brainlist and will give u points !!!! It’s due in like 30 minutes!!!

Answers

Answer:

right side up

Step-by-step explanation:

2 questions

Answer:

1) 25.12

2) ((4/3)*π*r^3)/2

Step-by-step explanation:

1) formula of the volume of a cylinder is: r^2 * π * h = 2/1 * π * 8 = 25.12

2) diameter = side of the square = 2r

so the radius is r

finally formula of the volume of a hemisphere: ((4/3)*π*r^3)/2

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4x+2y=−14 y=−2x−6
Solve the system of linear equations:

Answers

Answer:

no solution

Step-by-step explanation:

solve by elemination

Answer:

No solutions

Step-by-step explanation:

4x+2y=−14

4x + 2(-2x - 6) = -14

4x -4x - 12 = -14

0x - 12 = -14

x = 0

y = 2(0) - 6

= 0 - 6

= -6

The shoes you want to buy are on sale for 25% off the original price is $75 what is the sale price of the shoes

Answers

Answer: $56.25

Step-by-step explanation:

25 as a decimal is 0.25

So you multiply 0.25 * 75 = 18.75

75 - 18.75 = 56.25

The sale price of the shoe is $56.25.

give me answer please v

Answers

Answer:

99999

Step-by-step explanation:

To find : The Greatest 5 digit number exactly divisible by 9,12,15,18 and 24? Solution : The greatest 5-digit number is 99999.

IT'S VERY HARD QUESTION I SOLVED FOR YOU PLEASE GIVE A ❤ AND MARK ME A BRAINLIST. PLEASE

can someone please help

Answers

About what you dont write anything

Answer:

for A

the law

V=Bh or V=πr2h

I will use this V=Bh

V= 16·21

V= 336cm³

For E

the law

A= 1/2·(A + B)·H

A= 1/2·(14 + 8)·4

A= 44cm²

V= A·H

V= 44·4

V= 176 cm³

make a search for each one :

B. triangular prism volume calculator

C. pyramid prism volume calculator

D. rectangular prism volume calculator

F. cube volume calculator

it is an math question i am doing my paper i need help 7 class question
factorize: a²-100

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The length of a rectangle is 10x² – 13x - 3 / 4x + 3 and the width is 4x² + 11x + 6 / 2x - 3 inches. Find the area of the rectangle.

Answers

Answer:

use this formula ot find area of rectangl 2l +2w

Find the HCF of 12 and 16

Answers

Answer:

4 Hope that helped

The answer is four please tell me if this helped

the five classes at steam elementary are going to the zoo. the teacher need to put the students in group of tens the number of students in each class is shown

Answers

there will be 13 groups with 4 leftover

Step-by-step explanation:

1)Add all the elementary learners

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Answers

Answer:

y=2x+6

Step-by-step explanation:

y=2x+6 you are welcome!!

Can someone help me out, I will give out brainly.

Answers

Answer:

370

Step-by-step explanation:

Area of the entire thing is 20*20 = 400

You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)

Area of triangle:

First find the height using pythagorean theorem

5*12 = 156

Then divide by two: 60/2= 30

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