How would you enjoy a holiday on Vuvv? If not, what would you enjoy?

"I enjoy your website", wrote Becky, from Carleton St Hilda's C. of E. Primary School. Becky sent her Vuvviaan moons solution to us in the form of a table. Becky's solution was one of three different suggestions for solutions to this problem sent in. The three relate to each other. See if you can find out how and why. Then have a look at the problem and see if you can decide which of the answers you agree with and why. This is how Becky began her solution search:

Now, I wonder what Becky changed her search to? If Becky is going to change her search to try and arrive at an answer perhaps she wants to think about this idea.

Alex Scott and her family from Leicester, England worked on this Vuvvian problem. Alex explains how they set about arriving at a solution:

• We started off by doing the seven times table, because that was how long the last moon took to go round Vuvv.
• Next, we checked if the multiples of seven were also in the 2x, 3x, 4x, 5x, 6x tables. This was so we'd know if they (Vuvv moons) would line up.
• We got fed up working out the multiples of seven, because they got way too big. So, we used a calculator! We pressed +7=== to get the multiples of seven.
• We found out that it would take 210 Vuvvian years between each super eclipse.
• That means it would be 209 Vuvvian years before the Fewtsher should have their holiday.

Quite a wait Alex! But it would give them plenty of time to decide what to pack!! Now although 210 years is a long time, Anita and Jing Jing from Kilvington Girls' Grammar in Australia, think that's only the half of it...in fact, they think that it will be a 420 year wait. Wow! But Thomas Harley, from Suffolk, thinks it's way longer than that - twice as long. He also has some suggestions as to what the Fewtsher family could do to pass the time.