Thursday 13 February 2014

Maths challenge


Puzzle Time

20 Golden rings

King Ratticus was coming up to his 20 th birthday. He decided

he wanted a special treat so he called for Goldie, his

goldsmith, who could make anything out of gold.

 

"Goldie, I want you to make me 20 gold rings, one for each

year of my life, and one for each finger and toe. Oh, and by

the way, see Queen Ratticus for payment."

 

Goldie went away and made the 20 gold rings. He then went

to see the Queen for payment.

 

"Well, Goldie, they are excellent, but how much will they

cost?" asked the Queen.

 

"My dear Queen, they are not cheap!" said Goldie, "they are

one million pounds in all….or you could pay £1 for the first

ring, £2 for the second, £4 for the third, £8 for the fourth

and so on, doubling the cost for each ring."

 

" I can't afford a million pounds," said the queen, "so I will

pay by the second way, it will be much cheaper!"

 

Was she right ?

Did she save money or not?

How much did it cost her?

10 comments:

  1. The Queen was wrong because if she paid by the minute she'd be spending way over £10000!! She'd be spending around [at least] £20000 .

    ReplyDelete
    Replies
    1. Sorry miss Davies , i calculated incorrectly. Queen Ratticus spent roughly £10000,50,000 and 80 .

      Delete
  2. No because nothing can be cheaper. In life nothing can be cheaper because that is the way of life. You can`t make anything cheaper except the person who works there. And it cost her £1,000,000.

    ReplyDelete
  3. the queen was wrong because on the 18 Th ring it cost her 131,072 pounds.

    ReplyDelete
  4. Queen Ratticus was wronge,she lost her money and could have saved.The Queen had to pay £5,191,168 and would have saved £4,191,168.

    ReplyDelete
  5. The queen is wrong , it cost £48,575 more than million.

    ReplyDelete
  6. Total Cost for 20 Rings = (2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2)-1=£1,048,575

    ReplyDelete
  7. It costed the Queen £2.The queen was right.Yes the Queen saved money.

    ReplyDelete
  8. The Queen was incorrect, because she would then be paying £48,575 extra.
    In total she would be spending 1,048,575 pounds.

    ReplyDelete
  9. Anjali and Asmita13 February 2014 at 21:42

    No. The queen was wrong.
    No. The queen did not save money.
    It cost her £1,048,575.
    The queen paid £48,575 more.

    ReplyDelete