Math Pow(Problem Of The Week)?

Question

Ken's father Bil,was a baker. Out of his usual mourning batch of choocolate chip cookies, Bill burned the first 2 dozen chip cookies. He gave half of what was left to Ken to take to school. He wrapped up half of the remaining cookies and gave them to the gas station crew next door. He gave half of what was left to the policeman on the beat.If Bill had only 7 cookies left, how many cookies were in the batch of chocolate chip cookies?


Picture to help:
It shows a rectangle line in the middle so the left side is 1/2. Other side is divided into 4ths so on the top is 2/4 which is 1/2. Bottom part you have to draw a line in the middle and the left side is 1/2 the other side is 7.

Hope u noe!D= xD

Answer 1

x = 7
y = x + x + 2x + 4x + 24 = 80
Bill = x = 7
Police = x = 7
Gas Station = 2x = 14
Ken = 4x = 28
Burned = 24

y = 80

Answer 2

simple,
ken got 1/2
the crew got 1/4
and the police got 1/8

that is 7/8
meaning the remainder, 7, is 1/8 of the unburnt cookies

so multiply 7 by eight and you get 56 which is added to the 2 dozen burnt cookies and his total batch is either

80 if it is a normal dozen

or 82 if there is baker's dozens

I personally do not understand the picture help but each to thier own

Answer 3

7(what was left)*2=14(how much he had before giving the cookies to the policemen)*2=28(before he gave the cookies to the gas station crew)*2=56(What he had before giving it to Ken)+28(is equal to 2 dozen)=84 is the begginning amount of cookies Bill had.

Answer 4

Let

x = original number of cookies
x - 24 = number after burning
(1/2)(x - 24) = number after giving half of what's left to Ken
(1/4)(x - 24) = number after giving half of what's left to gas crew
(1/8)(x - 24) = number after giving half of what's left to police

(1/8)(x - 24) = 7
x - 24 = 7*8 = 56
x = 56 + 24 = 80

He started out with 80 cookies.

Answer 5

Without solving for x, you can do the problem backwards and get the answer by mental math.

Here is my approach:

7+7+14+28+24 = 80

Answer 6

80 cookies. But if he were to have made a baker's dozen then it would be 82. Baker's dozen = 13. I worked backwards.

Answer 7

Try to divide the big rectangle into little ones of equal size to the one that's 7, then put 7 in each little rectangle and count them up.

Answer 8

i dont know how to do this.