Problem three, in which of the following hexagons is exactly one-third of the area black and exactly half of the area white? So first, let's figure out what this means exactly. So we see that each hexagon is divided into six triangles. And so if one-third of the area is black, that means that one-third of six, which is two triangles, need to be black. And if half the area is white, then half of six, which is three triangles, need to be white. Now we can look at our five answer choices and see which one matches this. So we see that A only has one black triangle, B only has two white triangles, C only has one white triangle, D also has only one white triangle, but E has two black triangles as desired and three white triangles as desired. And so that means that E is our answer.

hexagons

area

triangles

black

white