Ahh, it is the Hufflepuff’s spread the joy time here at Hogwarts for Slytherin. Every quarter Hufflepuff gives 49 tasty cakes to another house during a particular quarter at Hogwarts. This is quite a lot of cake! They are magically preserved so that the house receiving said cakes can eat them throughout the quarter and they will stay magically fresh, tasty, and moist. The order that which house receives the cakes in a given quarter is as follows:
Gryffindor 1st quarter
Slytherin 2nd quarter
Hufflepuff 3rd quarter
Ravenclaw 4th quarter
The way Hufflepuff makes the 49 magical cakes is each year has to make 7 cakes of a particular kind (7 years x 7 cakes gives us 49 cakes) and each cake magically weighing 7 kilos exactly (49 cakes x 7kg gives us 343kg). The type of the 7 cakes made by a given class is as follows:
1st year: Angel food cake
2nd year: Babka
3rd year: Tiramisu
4th year: Pound cake
5th year: Cheese cake
6th year: Croquembouche
7th year: Devil’s food cake
However, this year a prankster from Gryffindor messed with their corresponding year’s Hufflepuff bakers as a joke to Slytherin. What they did was magically remove one kilo from each of the 7 cakes that class made yielding 7 cakes weighing 6 kilos each. Thus, Slytherin received 7 less kilos of a particular type of cake. Furthermore, this crafty Gryffindor student put enough charms on it to so that no one can detect their shorting of the “shortbread” by visual or magical means. The only way it was figured out it happened was the devious note that said “I took 1 kilo of cake from 7 identical cakes that corresponds to my year! Haahhaha, you will never figure out who I am, love Gryffindor!” sitting next to the 49 cakes.
Now only one Gryffindor student per class has access to the kitchen. And the following is this year’s list of students from that house:
1st year: Mary Whitefoot
2nd year: Albus Redding
3rd year: Ron Greenspan
4th year: Isis Bluepool
5th year: Trevor Blackwell
6th year: Nigel Silvertongue
7th year: Jamie Hazel
But the pranking Gryffindor messed up on one of their charms. It seems you can weigh the cakes one time and one time only before their magical charm kicks in effectively letting he or she off free. Furthermore, the student put a charm on the lot of all the cakes yet only messed with his or her corresponding year weight of cakes. Devise a method to catch the particular year/student using a scale one time while checking all the years at once to deduce which of the 7 students is the culprit.
You can only weigh one time and one time only before the charm kicks in whether you weigh one cake or all the cakes.
You cannot figure out the differences of weight by holding or looking at the cakes at all
Come up with a solution to find the culprit with muggle skills only
I am not looking for the culprit I am judging the method of using said scale one time.
Good luck and I look forward to your answers! Send me a PM with the subject line of Cake-astrophe with your solution to this harmless prank!
-TK- 10 scales (September 2018)
Will Lestrange 5 scales (September 2018)