Solvitude Festival

Madam Mushnik was getting ready for the four-day Solvitude Festival in a land far, far away. The four best students were to be rewarded for their superb puzzle-solving skills.

The total prize pot consisted of 16 coins. The first coin was worth 1 groan, the second was worth 2 groans, and so on. The coins were to be distributed according to the Solvitude rules:

  1. Each student receives one coin on each day of the festival.
  2. The total value, in groans, of the coins distributed each day is the same.
  3. The total value, in groans, of the coins received by each student over the four days is the same.

Can you find a way that Madam Mushnik could distribute the coins so that all three rules are obeyed?

Drag each coin into a yellow circle. You can drag a placed coin back to the pool, or directly onto another circle to swap.

Seymour
Day 1
Day 2
Day 3
Day 4
Crystal
Day 1
Day 2
Day 3
Day 4
Orin
Day 1
Day 2
Day 3
Day 4
Audrey
Day 1
Day 2
Day 3
Day 4

This is quite a difficult puzzle particularly if you are new to solving puzzles of this kind . If you're getting frustrated right now why not try a simpler puzzle in order to prepare for this puzzle.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.

Suggested

Pandigital Puzzles

Pandigital Puzzles

Arrange the digits 1 to 9 to create two numbers in the given ratio.

The short web address is:

Transum.org/go/?Num=1171

Suggested

Beam Balance

Beam Balance

Achieve a perfect balance while hanging the treasure sacks off the balance beam pegs.

The short web address is:

Transum.org/go/?Num=1169

Suggested

Knights of the Circular Table

Knights of the Circular Table

A royal seating investigation for brave pattern spotters, careful counters, and anyone willing to seat a few knights at the round table.

The short web address is:

Transum.org/go/?Num=1170

Transum.org is a proud supporter of the kidSAFE Seal Program