Jada and Diego bakes a large batch of cookies
They select 1/4 of the cookies to give to their teachers
Next, they threw away one burnt cookie
They delivered 2/5 of the remaining cookies to a local nursing home
Next, they have 3 cookies to some neighborhood kids
They wrapped up 2/3 of the remaining cookies to save for their friends
After all this, they had 15 cookies left. How many cookie did they bake

They baked 108 cookies

Step-by-step explanation:

Assume that Jada and Diego baked x cookies

∵ Jada and Diego baked x cookies

∵ They select of the cookies to give to their teachers

∴ They give their teachers =  × x = x

- Find the remaining cookies

∴ The remaining cookies = x - x = x

∵ They threw away one burnt cookie

∴ The remaining cookies =   x - 1

∵ They delivered of the remaining cookies to a local nursing home

- That means the new remaining will be of the old remaining

∴ The new remaining = ( x - 1) = x -

∵ They gave 3 cookies to some neighborhood kids

∴ The next remaining = x - - 3

- Add the like terms

∴ The next remaining = x -

∵ They wrapped up of the remaining cookies to save for their friends

- That means the last remaining will be of the previous remaining

∴ The last remaining = ( x - )

∴ The last remaining = x -

∵ They had 15 cookies left

- Equate the last remaining by 15 to find x

∴   x - = 15

- Add    to both terms

∴   x =

- Divide both sides by  

∴ x = 108

They baked 108 cookies