'The Cookie Crunchers' Among Bakers

Cassie, Jon, Luke, Maria, and Sahas baked a batch of 36 cookies, two-thirds of which were chocolate chip. The rest were plain. They each ate at least one right away. The cookies were so delicious, only one-and-a-half dozen are left, of which half are plain.

1. Cassie is allergic to chocolate.
2. Luke ate twice as many chocolate chip cookies as plain cookies.
3. Sahas and Maria each ate as many cookies as Luke and Cassie combined.
4. Sahas ate more chocolate chip cookies than Maria.

If all the cookies were eaten by the bakers themselves, how many cookies of each kind did each person eat?

Click here to know the final stats! 

Scorecard of 'The Cookie Crunchers'

What was the puzzle?

Cassie, Jon, Luke, Maria, and Sahas baked a batch of 36 cookies, two-thirds of which were chocolate chip. That means there were 24 chocolate cookies and 12 plain cookies.

The cookies were so delicious, only one-and-a-half dozen are left, of which half are plain. So, 18 cookies are left out of which 9 were plain and other 9 were chocolate.

That is out of 24 chocolate cookies, 24 - 9 = 15 are eaten and out of 12 plain cookies, 12 - 9 = 3 are eaten. 

Now, taking a look at the hints given.

1. Cassie is allergic to chocolate.
2. Luke ate twice as many chocolate chip cookies as plain cookies.
3. Sahas and Maria each ate as many cookies as Luke and Cassie combined.
4. Sahas ate more chocolate chip cookies than Maria. 


They each ate at least one right away. Since Cassie is allergic to chocolates,  must had chosen plain cookie. Luke too must have eaten at least 1 plain cookie otherwise total of cookies eaten by him along with chocolate cookies would be 0.

Sahas and Maria ate same number of cookies but Sahas ate more chocolate cookies than Maria. That means Maria must have eaten more plain cookies than Sahas to balance her number of cookies with the number of cookies eaten by Sahas.

Since there are only 3 plain cookies eaten with 1 of them eaten by Cassie, other 2 must be eaten by Sahas and Luke each while Sahas of Jon had no plain cookies.

With that Luke must had eaten 2 chocolate and 1 plain cookies.

Luke and Cassie together ate to 2 + 1 + 1 = 4 cookies. Hence, Sahas and Maria too ate 4 cookies. Sahas ate 4 chocolate cookies and Maria ate 1 plain and 3 chocolate cookies.

Total of 0 + 2 + 4 + 3 = 9 chocolate cookies eaten by Cassie + Luke + Sahas + Maria together. Hence, rest of chocolate cookies i.e. 15 - 9 = 6 eaten by Jon. 

The final stats are - 

Cassie :  Chocolate - 0          Plain - 1

Luke   :  Chocolate - 2          Plain - 1

Sahas :  Chocolate - 4          Plain - 0

Maria  :  Chocolate - 3          Plain - 1

Jon     :  Chocolate - 6          Plain - 0