Question 167527
so if he eats 16 cookies it would be time would be (t-6)days where t is the # of days he eats the cookies. and if he eats 12 cookies a day time would be t days.  

{{{16(t-6)=12(t)}}} {{{16t-96=12t}}} {{{4t=96}}} {{{t=24}}}so if he eats 12 cookies a day for 24 days that gives {{{highlight(12(24)=288)}}}cookies

we can check to see if this is right by taking 16 cookies and multiplying it by t-6 days which is {{{16(24-6)=288}}}