Question

Yuki made cookies on Monday. Somefriends came over and ate half thecookies on Tuesday. On Wednesday,Yuki ate three cookies, and onThursday, she took two cookies toschool. By Friday, Yuki had sevencookies left. How many did she bake onMonday?

Answer 1

Let x be the initial amount of cookies.

On Tuesday, it only remains x/2 of the initial cookies.

On Wednesday, (x/2)-3

And on Tuesday, ((x/2)-3)-2

On Friday, she only had 7 cookies left; this means that

`(((x)/(2))-3)-2=7`

Solving for x

`\begin{gathered} (((x)/(2))-3)-2=(x)/(2)-5 \\ \Rightarrow(x)/(2)-5=7 \\ \Rightarrow(x)/(2)=7+5=12 \\ \Rightarrow x=24 \end{gathered}`

Therefore, she baked 24 cookies on Monday