# Problem of the week

A contest for Wayne State Warriors but challenging for anyone!

## The rules

• Each Tuesday, starting in the third week of the fall and winter semester, "The problem of the week" will be posted near the mathematics department office (1150 FAB) and here on the website.
• Contestants are broken up into two categories: Group A: Those students who have not completed MAT 2030 and Group B: Those students who have completed MAT 2030.
• Students must submit their solutions in person to the math department office (1150 FAB) or by email to mathpow@wayne.edu by noon on the following Tuesday. Include your name, ID number and whether you have completed Math 2030 (or higher).
• In each category, all correct solutions will equally divide 100 points. For example, if four people in Group A submit correct solutions, each student will earn 25 points.
• After ten weeks, the top three students in each category are declared the winners.

## Rewards

• In each category, prizes of \$50, \$20 and \$10 are awarded to the students in first, second, and third places respectively.
• Winners will be invited to attend the mathematics department's Annual Award Ceremony held in April.
• You get to have fun with mathematics!

### Group B (completed MAT 2030)

Place Name Score
First Jacob Klein 283
Second Nishat Naylah 133
Third Joshua Heytler 50
Fourth Rishitha Bura 33

### Group A (not completed MAT 2030)

Place Name Score
First Wesley Bennett 250
Second Bailey Broccardo 100
Third Henry Bartman 99
Fourth Joseph Moore, Sara Sejdini, Lawaun Everson 25

## Sample problem

Mike and Bubba have eight quarts of wine, which is in an eight-quart container. They also have two empty jars, one which holds five quarts of liquid and one which holds three quarts. Assuming the container and the jars hold exactly the amount specified, and the men have no other means of measuring, how can they divide the wine equally?

## Sample problem solution

The steps required are demonstrated in the following table.

Step 8-Q 5-Q 3-Q
Start 8 0 0
1 3 5 0
2 3 2 3
3 6 2 0
4 6 0 2
5 1 5 2
6 1 4 3
7 4 4 0