Puzzle

[marcushill]

I've been toying with a puzzle to (possibly) use at work and thought I'd try it out on you, my adoring public.

Comments

[richc]

1 - 30p(10/10/10 + 20/5/5) or 60p(20/20/20 + 50+5+5) I think you need the 3 coins of same value restriction on this one.

2 - 202p (100/100/2 + 200/1/1)

3 - 110(50/50/10 + 100/5/5) -> 220 (200/10/10 + 100/100/20)

The 2 pound coin simplifies a lot of this puzzle type.

[marcushill]

I'll shift the 3 equal coins restriction to the general problem.

[anne_l_davies]

I had the same answers as Rich, but hadn't spotted the 60p possibility in Q1). if I hadn't nipped out to buy lunch I'd have got in their first. Curse my stomach!

[marcushill]

So, how much money has Rich won?

[anne_l_davies]

I want to say '30p'. But that's too obvious.

[marcushill]

There are two values less than 30p which can be made up in two distinct ways with three coins.

[anne_l_davies]

12p?

10/1/1
5/5/2

[marcushill]

Yup, the other one below 30p being 22p (10/10/2, 20/1/1)

[anne_l_davies]

Woot! Go team me!

[marcushill]

No, hang about. Both possibilities involve three of the same coin type. I may have to leave that one open for two answers, otherwise the restrictions become too awkward to phrase.

[marcushill]

The £2 coin raised the number of possible amounts of money that could be made up in two different ways from six to eleven.