DIY Challenge 1: Finding the fake container
There are 5 containers of with 5 coins each. All containers have coins of weight 5gm, expect one fake container, which has all coins of only 2gm.
Jerry is trying to find a strategy to find the fake container. She took 1 coin from the 1st container, 2 coins from the 2nd one, 3 from the 3rd….and so on.
She then placed all these coins on a digital weighing scale.
What is the possible weight she might see on the weighing scale?
What students worked out8
Student 2
122g(1 is the fake coin basket)
121g(2 is the fake coin basket)
116g(3 is the fake coin basket)
111g(4 is the fake coin basket)
110g(5 is the fake coin basket)Student 2
THIS ONE IS WRONG
Student 2
WILL TELL THE CORRECT ONE LATER
Student 2
ACTUALLY, I THINK IT CAN BE RIGHT ALSO WILL JUST CONFIRM AND TELL.
Student 2
NOT SURE
Student 4
72g(1 is the fake coin bag)
69g(2 is the fake coin bag)
66g(3 is the fake coin bag)
63g(4 is the fake coin bag)
60g(5 is the fake coin bag)Reply
Student 1
If there is no fake coin bag the total will be 75 grams
Fake coin bag 1: weight 72 (grams)
Fake coin bag 2: weight 69 (grams)
Fake coin bag 3: weight 66 (grams)
Fake coin bag 4: weight 63 (grams)
Fake coin bag 5: weight 60 (grams)Student 2
Fake coin bag 1: weight 72
Fake coin bag 2: weight 69
Fake coin bag 3: weight 66
Fake coin bag 4: weight 63
Fake coin bag 5: weight 60