![]() Let’s take our 2nd and final measurement. The sides will balance (in which case we know the black group must contain the heavy marble)Įither way we’ve narrowed it down from 9 possibilities to 3 on our first measurement.įor argument’s sake, let’s pretend it was the blue marbles that had the heavy one in the measurement above.The blue side may go down (in which case we know the blue group contains the heaviest marble), or.The red side may go down (in which case we know the red group contains the heaviest marble), or.In this case, we leave the black ones out. Start by putting 3 marbles into each side. Tip #6: Next image (solution to the 1st measurement) is below: If you were stuck, the picture might help you with your first measurement. We’ve separated the marbles into 3 groups. TIP #5: below are some colors to help you…. ![]() Could you figure out which of the 3 was the heavy one? (the answer is yes). TIP #4 (a big one, and part of the answer): Pretend you only had 3 marbles, but could only use the scale once. TIP #3: How many groups of marbles can you compare at once? If you said 2, think again! Don’t forget, all the marbles are the same weight except for the 1 heavier one. TIP #2: Clearly, you have to put an even number of marbles in each side for your first measurement. TIP #1: You won’t be putting all the marbles in for your first measurement (that wouldn’t work because we have an odd number!). (scroll down slowly for tips and to eventually the answer!) As long as you have the same number of marbles in each side, the heavy marble has just enough weight to tip the scale to its side. In other words, you get to take 2 measurements (or “comparisons”) here.Ĥ) Each “bucket” has enough room for multiple marbles. You don’t know which is which.ģ) You are allowed to use/set the scale TWICE in total. The remaining marble is slightly heavier than the others. In any case, on to the riddle.Ģ) 8 of them are exactly the same weight. ![]() Yeah, I probably shouldn’t have even bothered with the picture. You can put things in the little “buckets” and the scale will tip to the heavier side. A real weight balance (or scale) looks slightly like the apparatus I drew above. My awesome drawing of a weight balance and 9 marblesīecause I draw like a 2 year old, some clarification as to what you see above. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |