Question

Need help..
Dawn baked cookies & gave 3/4 of them to Penny. Penny gave back a dozen. Dawn ended up with 18 cookies. How many did she originally make?

Answer 1

Dawn baked x cookies.
Using x, how many did Dawn give to Penny?

Answer 2

3/4

Answer 3

No its (3/4)x cookies that he gave to penny

Answer 4

No its 3/4 of x cookies that he gave to penny

written as (3/4) x

Answer 5

after giving (3/4)x to penny dawn , in terms of x, had how many copies?

Answer 6

?? - those messages sure got mixed up!!!

Answer 7

Yeahhh

Answer 8

how many do you think dawn had left
If you give away 3/4 of some quantity how much have you got left yourself?

Answer 9

Dawn has 18 cookies left. To be honest I don't know the answer, 3/4 is .75

Answer 10

you need to create an equation to solve for x

If dawn originally had x cookies and she gave away 3/4 of them - that is (3/4)x , she would have x - (3/4)x = (1/4) x left.
Do you get that?

Answer 11

Not really

Answer 12

(3/4)x simply means 3/4 of x
what left after taking (3/4) x away from x is 1/4 of x , (1/4)x

Answer 13

- its a kind of shorthand

Answer 14

1/4 is .25

Answer 15

if for instance x was 16 then 3/4 of it would be (3/4) 16 = 12 and (1/4) 16 = 4 would be left

Answer 16

if you prefer you can use decimal
x - 0.75x = 0.25x

Answer 17

oh wel - I tried...

Answer 18

Ok, here is the problem from the beginning:

Dawn baked an unknown (to us) number of cookies.
We will use the variable x to represent that unknown number.

Then Dawn gave 3/4 of the number of cookies to Penny.
Since we are letting x represent the number of cookies Dawn baked, that means Dawn gave 3/4 of x to Penny. 3/4 of x is the same as (3/4)x.

After Dawn gave away 3/4 of the cookies she baked, she was left with 1/4 of the cookies she baked. We still don;t know how many cookies Dawn baked, so after giving the cookies to Penny, Dawn kept 1/4 of x cookies, or (1/4)x.

Then Penny gave 12 cookies back to Dawn. Since Dawn still had (1/4)x cookies, now Dawn has (1/4)x + 12 cookies.

We are told that Dawn now has 18 cookies.
That means that (1/4)x + 12 = 18
We need to solve that equation for x to find how many cookies Dawn baked.

(1/4)x + 12 = 18

Subtract 12 from both sides:

(1/4)x = 6

Multiply both sides by 4:

x = 24

Dawn originally baked 24 cookies.

Now let's check our answer.
Dawn baked 24 cookies.
1/4 of 24 is 6. 3/4 of 24 is 18.
Dawn gave 3/4 of the 24 cookies to Penny. She gave 18 cookies away.
Dawn kept 6 cookies.
Then Penny gave 12 cookies back to Dawn.
Now Dawn has 6 + 12 = 18 cookies, which is what the problem states, so our answer is correct.