Grades 3-4 Video Solutions 2024-2024_3-4

Video Transcription

Question 22. The figure below shows a honeycomb with nine cells. There's honey in some cells.  The number in each cell shows how many neighboring cells contain honey. Neighboring cells have a side in common. How many cells contain honey?  Let's draw our honeycomb with gray cells, meaning we are unsure if they contain honey or not. Let's start off with the cell on the very right with a two on it. This means that  there are two cells next to it that have honey. We also notice that it only has two cells next to it, so both these cells have to have honey in them. Now let's take a look at that  four that we just filled in. It also only has four cells next to it, so all the cells next to it will be filled in. Now let's take a look at the three that we had filled in  with honey, and notice that it already has three neighboring cells filled with honey, which means that that other three next to it will have to be empty. We can use the same  logic on the very bottom cell, the two, which already has two cells neighboring it with honey, meaning that three will also be empty. Now we turn our attention to the cell in the  very center, which should have four cells with honey next to it. We know that it has three with honey and two that are empty. That just leaves that one that we're unclear on,  which has to be filled with honey to make it a four. Finally, we are left with the cell on the very left. It will be empty, because otherwise that one that we had just filled  in would have to be a two. So now we just need to total up how many cells with honey we have, and this will give us our answer, which will be C, six.

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