Question 17. The figure below shows a honeycomb with 16 cells. Some of the cells contain honey. The number in each cell indicates how many of its neighboring cells contain honey. Two cells are neighbors if they share a common edge. How many cells in the honeycomb contain honey? First, let's redraw the grid, but with all unknown spaces. In our diagram, the gray cells will represent unknown cells, the white cells will be empty cells, and the yellow cells are full cells. From here, we have to look at cells where the surrounding remaining unknown cells are either all empty or all full cells, as they are the only way we can determine if cells are empty or not. The numbers that will be highlighted in red are the numbers that meet this requirement, and can be used to identify the surrounding cells. For example, in our first go over of all 16 cells, we identify two cells that fit this criteria. There's the 0 cell and the 4 cell. All the cells that border the 0 cell will be empty, and all cells that border the 4 cell will be full. We can repeat this process over and over, until we eventually fill up all the cells. After we do so, we can count the number of filled cells, and we get that there are 9 of them.

honeycomb grid

cell analysis

neighboring cells

problem-solving

honey identification