SOLUTION: A boy has a certain number of cookies. If he eats 16 cookies per day, they will last six days less than if he eats 12 cookies per day. How many cookies does he have?

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Question 167527: A boy has a certain number of cookies. If he eats 16 cookies per day, they will last six days less than if he eats 12 cookies per day. How many cookies does he have?
Answer by Mathtut(3670) About Me  (Show Source):
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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%28t-6%29=12%28t%29 16t-96=12t 4t=96 t=24so if he eats 12 cookies a day for 24 days that gives highlight%2812%2824%29=288%29cookies
we can check to see if this is right by taking 16 cookies and multiplying it by t-6 days which is 16%2824-6%29=288