Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

After dylan took half of the cookies and 6 were left there were

12 before he took any

Than If Koji took a 3rd when 12 were left there were 18

Than if Paige took a 1/4 of what was left when there were 18 there were 24

This same pattern is the same for the next 2

24+6 = 30 and than 30+6 = 36

TLDR;

remove 6 per person meaning there were 36 to begin

Answer 2

Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.

Mrs. Balbas baked a batch of cookies for her math class.

1. Aaron takes 1/6 of the cookies:

If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.

2. Matthew takes 1/5 of the remaining cookies:

Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.

3. Paige takes 1/4 of the remaining cookies:

Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.

4. Koji takes 1/3 of the remaining cookies:

Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.

5. Dylan takes half of the remaining cookies:

Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.

6. Gavin takes the last 6 cookies:

The remaining (1/6)C - 6 cookies are taken by Gavin.

7. The rest of the class gets nothing, leaving 0 cookies.

Now, let's add up the amounts taken by each student:

- Aaron: (1/6)C

- Matthew: (1/6)C

- Paige: (1/6)C

- Koji: (1/6)C

- Dylan: (1/6)C

- Gavin: 6 cookies

Adding all these together, we get:

(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6

Since the remaining cookies are accounted for,

we know that (5/6)C + 6 = 0, which gives us C = 432.

Therefore, the initial batch had 432 cookies.

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Related Questions

Write 5/8 as a percent
A. 0.625
B. 62.5
C. 625%
D. 6.25

Answers

Question:- Write ⅝ as a percent

Answer:-

[tex] \frac{5}{8} [/tex]

For making it in percentage we need to multiple the fraction with 100

[tex] \frac{5}{8} \times 100\% \\ \frac{5}{ \cancel{8} {}^{ \: \: \: 2} } \times \cancel{100} {}^{ \: \: \: 25} \\ \frac{5 \times 25}{2} [/tex]

Now we will multiple and divide the above equation with 5 for easy solution. Or you can just divide the equation upto decimal for your answer

[tex] \frac{125}{2} \times \frac{5}{5} \\ \frac{625}{10} \\ 62.5 \: \% \: \: ans[/tex]

So your options (B) 62.5% is correct

Answer: 62.5%
Please mark brainliest

Select all ratios equivalent to 3:2.

Answers

Answer:

18:12, 12:8

Step-by-step explanation:

18:12 = 3 * 6:2 * 6

12:8 = 3 * 4:2 * 4

Answer: 18 : 1 2 , 12 : 8

A bookshop has some fiction and non books. 2/5 of the books are fiction books. Of these, 1/5 are mystery stories. 1/3 of the non fiction books are mystery stories too. What fraction of all the books in the shop are mystery books?

Answers

Answer:

1/3 of all of the books

Step-by-step explanation:

5/5 - (2/5 +1/5) =2/5

2/5(1/3) = 2/15 nonfiction mystery books

2/15 + 1/5 = mystery books

1/5 = 3/15

2/15 + 3/15 = 5/15

5/15 = 1/3

1/3 out of all the books

The mayor knows the area needed for a flower garden in the park. She wants the base to be a certain length. How can she determine the necessary height to get the correct area of the flower garden? Explain.

Answers

Answer:

Answer:The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.

Step-by-step explanation:

Maria would determine the height by dividing the area of the garden by the base

From the question, she has the area and the base.

Also, the garden has the shape of a parallelogram

The area of a parallelogram is the product of the base and the height.

So, when the area is divided by the base, she gets the height

Read more about parallelograms at:

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Cans someone help me with 6 and 7 please I am very confused on this two so I’ll appreciate it if u help me!

Answers

Answer:

6. $127.50

7. 275c

Step-by-step explanation:

Q6)

Kerry's workday is 10 hrs. and works 40 hrs. per week, Kerry works for 4 days

Watson's workday is 8 hrs. and works 40 hrs. per week, Watson works for 5 days

Kerry: works 4 days and gets paid $ 12.75 per cat & grooms 15 cats per day, so Kerry makes = 4(12.75 × 15) = 4(191.25) = $ 765

Watson: works 5 days and gets paid $ 12.75 per cat & grooms 10 cats per day, so Watson makes = 5(12.75 × 10) = 5(127.50) = $ 637.50

∴ The difference between their weekly earning is 765 - 637.50 = $ 127.50

Q7)

Given:

There are 'c' number of conferences rooms in the Texas Hotel

Number of foldable chairs in each room = 275

Solution:

So, the total number of chairs in all conference rooms would be c X 275

= 275c

The guy above is correct!

Help me now please this is homework lol

Answers

Answer:

7676

Step-by-step explanation:

i can help you if you want

The answer is 7676 u just have to do the math

Evaluate the expressions when x=1.8 and y=4

1.) 3xy

2.) 7.5xy

3.) 1.4y + 5.9x

Answers

Answer:

1. 21.6

2. 54

3.16.22

Step-by-step explanation:

1. 3(1.8)(4)

2. 7.5(1.8)(4)

3. (1.4)(4) + (5.9)(1.8)

1. 3(1.8)(4) = 21.6

2. 7.5(1.8)(4) = 54

3. 1.4(4) + 5.9(1.8)
5.6 + 10.62 = 16.22

Is 3^2+3^3 equal to 3^5? Yes, expressions are
No are not
Explain:

Answers

Answer:

No & Are not

Step-by-step explanation:

(3^2)+(3^3) = (3x3)+(3x3x3) = 36

3^5 = 3x3x3x3x3 = 243

23, spice up ur life 6172 come get a fr

What are the coordinates of POINT A?
A.)1,2
B.)-1,2
C.)2,1
D.)1,-2

Answers

The ANWSER is b i had this one before
The answer is B.)-1,2
Good luck!

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

Answers

Answer:

x^4+3x^3-9x^2-12x+20

Step-by-step explanation:

Use the distributive property to multiply x^2−4 by x^2+3x-5 and combine like terms.

Here is the answer. Have fun

Simplify the expression by combining like terms put each expression in its simplest form. 1. 5x^2-2xy+3y^2-4yx+3x-4y^2-5xy+2x-y

Answers

5x^2-7xy-2y^2-4yx+3x+2x
5x^2 - 2xy + 3y^2 - 4xy + 3x - 4y^2 - 5xy + 2x - y = 5x^2 - (2xy + 4xy + 5xy) + (3y^2 - 4y^2) + (3x + 2x) - y = 5x^2 - 11xy - y^2 + 5x - y

Horatio Hornswoggle was born: 57 B.C. Horatio Hornswoggle died: 16 A.D. How old was Horatio when he died?

Answers

Answer:

73 years old

Step-by-step explanation:

57-(-16)= 57+16=73

The answer is 73 years old because since B.C and A.D are two different time periods, 57+16=73 please give me brainliest

Help Me Pls Help Me Pls

Answers

Answer is b that b school has lower sat rate

Cuanto es 20x20? plis es para hoy

Answers

400 that’s it and now I need to make this 20 charters long
400 :) ugh i have to make it 20 characters long again

A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a lap around a racetrack. Why are velocity and speed the same for a 100 m sprint but not a 400 m sprint

Answers

Answer

Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.

Step-by-step explanation:

<3

Because velocity and speed differ

Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.

Answers

Answer:

Step-by-step explanation:

point-slope form would be -3-3 = 1(-3-3)

Please help me on this question

Answers

Answer:

125 10/14

Step-by-step explanation:

the 125 doesn't actually matter so you can ignore that part.

since it is being divided by 14, the denominator of the fraction is 14. the remainder is 10, so the answer should be in the form of x 10/14, which the 1st answer is

I think 125.10 is the anwser because I believe that was the answer when I took this test two hours ago

Please help Im giving 25 points

Answers

It’s 5/7 5/8 I did the math

Answer:

[tex]4\frac{27}{56}[/tex]

Step-by-step explanation:

[tex]-4\frac{3}{8}+8\frac{6}{7} \\\\\frac{-35}{8}+\frac{62}{7} \\\\\frac{-245+496}{56} \\\\\frac{251}{56}[/tex]

Help needed asap please

Answers

Answer:

I don't understand the language you used

No because thier ain’t enough

Which lines, if any, can you conclude are parallel given that m<1 + m<2= 8 ? Justify your conclusion with a theorem or postulate.

a. g || h, by the Converse of the Same-Side Interior Angles Theorem
b. g || h, by the Converse of the Alternate Interior Angles Theorem
c. j || k , by the Converse of the Alternate Interior Angles Theorem
d. j || k, by the Converse of the Same-Side Interior Angles Theorem

Answers

The is B. By the converse of the Alternate interior angles theorem

Given the line below.

Answers

y2-y1/x2-x1 this is the formula
Excuse but how do you ask others for help because I really need help with this right now

There are 20 students in the class. They break up into groups of 5 for an art project. Choose the equation that shows how many groups there are.
20 x 5 = ?
20 x 4 = ?
20 divided by 4 = ?
20 divided by 5 = ?

Answers

20 divided by 5 is the answer
20 x 5 is 100 20 x 4 is 80 and 20 divided by 4 is 5 and 20 divided by 5 is 2

What is the step by step explanation on how to solve 8 1/2 + 3 4/5? I already know the answer is 12.3 but I just need help on the how to do the work.

Answers

To do this, first add the whole numbers: 8 + 3 = 11. Set that aside for a moment.

To add the fractions, 1/2 + 4/5, you need a common denominator. With 2 and 5, you’d have an LCD of 10.

1/2 = 5/10

4/5 = 8/10

So 1/2 + 4/5 = 5/10 + 8/10 = 13/10

Now, 13 is bigger than 10, so 13/10 is the same as 1 and 3/10.

We’ll add that to the 11 we found back in the beginning and get 11 + 1 and 3/10 = 12 and 3/10 or 12.3.
Sndnndsnndnxn djjdjd jdjdjd

Find the unit rate.
70 rooms on 5 floors
rooms per floor

Answers

Hi ;-)

70 rooms on 5 floors = 14 rooms per floor

70 : 5 = 14

Answer:

14 rooms per floor

Step-by-step explanation:

70 rooms on 5 floors

70/5=14 rooms per floor

find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)​

Answers

Answer:

To find the point that's one-third of the distance from (–4,1) to the other endpoint, (8,7): Replace x1 with –4, x2 with 8, y1 with 1, y2 with 7, and k with 1/3. Subtract the values in the inner parentheses. Do the multiplication and then add the results to get the coordinates

Answer:

To find the point that's one-third of the distance from (–4,1) to the other endpoint, (8,7): Replace x1 with –4, x2 with 8, y1 with 1, y2 with 7, and k with 1/3. Subtract the values in the inner parentheses. Do the multiplication and then add the results to get the coordinatesStep-by-step explanation:

Your class earned $55.00 Saturday afternoon by washing cars to raise money for a class trip. This is 1/3 of the money needed for the trip. What is the total amount needed?

Answers

the answer is $165
u have to multiply 55 x 3

The total amount needed is $165 if your class earned $55.00 Saturday afternoon by washing cars to raise money for a class trip.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Your class earned $55.00 Saturday afternoon by washing cars to raise money for a class trip. This is 1/3 of the money needed for the trip.

Let x be the total amount needed:

A linear equation in one variable can be framed as follows:

1/3 of x = 55

x/3 = 55

x = 55x3

x = $165

Thus, the total amount needed is $165 if your class earned $55.00 Saturday afternoon by washing cars to raise money for a class trip.

Learn more about the fraction here:

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Can someone help me please?

Answers

Answer:

469 2/3 (Answer 3)

Answer:

It's c 469 2/3

Step-by-step explanation:

7045 ÷ 15 = 469.6666667, which is just 469 2/3

Solve the inequalities by graphing. Identify the graph that shows the following equations.
x + y < 1
x − y > 2

Answers

Answer:

It's the 4th graph on the 1st sheet

Step-by-step explanation:

I hope this can help you

4 + 6 x 2 = 4 + 12
True or False

Answers

wrong 4+6x2=16 This is right answer

Answer:

True

Step-by-step explanation:

Bodmas you start with the multiplication before adding the 4 so its 6×12=12+4 which is equal to the right hand side

Find the area of each parallelogram.

Answers

a = 6
b = 8

explanation
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