Answer For This Week's Puzzle
To solve this problem, let's start by creating one chart that has everyone's name, and another chart that lists all of the different pen colors.
Now, we know that there were a three markers of each color, and also who does not not have a particular color. In addition, we know that Donald and Eve have the same color markers, so that must mean that Donald can't have Eve's marker color, and Eve can't have Donald's.
| Blue |
Green |
Orange |
Red |
Yellow |
| 3 | 3 | 3 | 3 | 3 |
| Bill |
Donald |
Cathy |
Eve |
Alice |
| |
Eve |
|
Donald |
|
We know that both of the boys have an orange marker, and that Eve has the same color markers as Donald.
| Alice | Bill | Cathy | Donald | Eve |
| |
Orange |
|
Orange |
Orange |
| Blue |
Green |
Orange |
Red |
Yellow |
| 3 | 3 | 0 | 3 | 3 |
| Bill |
Donald |
Cathy |
Eve |
Alice |
| |
Eve |
|
Donald |
|
Three people grabbed both the green and red pens. We know that neither Donald or Eve could have those colors, so that only leaves Alice, Bill, and Cathy.
| Alice | Bill | Cathy | Donald | Eve |
| Green |
OrangeGreen |
Orange |
Orange |
| Red |
Green |
Red |
|
|
| |
Red |
|
|
|
| Blue |
Green |
Orange |
Red |
Yellow |
| 3 | 0 | 0 | 0 | 3 |
| Bill |
Donald |
Cathy |
Eve |
Alice |
| |
Eve |
|
Donald |
|
OK, there are only six markers left now. We know that each person has three different colors, and that Donald and Eve both have the same color markers. So, let's write that down.
| Alice | Bill | Cathy | Donald | Eve |
| Green |
OrangeGreen |
Orange |
Orange |
| Red |
Green |
Red |
Blue |
Blue |
| |
Red |
|
Yellow |
Yellow |
| Blue |
Green |
Orange |
Red |
Yellow |
| 1 | 0 | 0 | 0 | 1 |
| Bill |
Donald |
Cathy |
Eve |
Alice |
| |
Eve |
|
Donald |
|
Finally, we know that Alice can't have the yellow marker, meaning that the last two markers are like this:
| Alice | Bill | Cathy | Donald | Eve |
| Green |
OrangeGreen |
Orange |
Orange |
| Red |
Green |
Red |
Blue |
Blue |
| Blue |
Red |
Yellow |
Yellow |
Yellow |