Thursday, 13 February 2014

Maths Challenge! Homework: 13th February 2014


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?

11 comments:

  1. The Queen was wrong it was more money .
    She did not save eney money.
    It cost the Queen 4,177,920

    ReplyDelete
  2. She was not right it would be cheaper to pay 100,000 pounds.
    She did not save many at all!
    It costed all together 524288

    ReplyDelete
  3. Mr Goldie is a very clever business man, as he already knows that doubling the figure will eventually give him extra money, i have worked out a total of £1.048,575 which means that Mr Goldie has tricked the Queen into paying an extra £48,575 .... Naughty man...

    ReplyDelete
  4. She was right, she did save money, 100,0000 pounds

    ReplyDelete
  5. The queen is right because in my prediction the number that it is , is less than million.
    yes she saved money and she paid only this much..£.752,775.

    ReplyDelete
  6. She was wrong, she didn't save money, 1048576

    ReplyDelete
  7. The Queen was right. She did save her money. She paid £866,286 in total.

    ReplyDelete
  8. The second payment is cheaper because the money adds up to £524288 which is less than £1,000,000. The queen was right.

    ReplyDelete
  9. 1-£1
    2-£2
    3-£4
    4-£8
    5-£16
    6-£32
    7-£64
    8-£128
    9-£256
    10-£512
    11-£1024
    12-£2048
    13-£4096
    14-£8192
    15-£16384
    16-£32768
    17-£65536
    18-£131072
    19-£262144
    20-£524288

    The queen was wrong because she did not save money and the rings cost £1048575

    ReplyDelete
  10. The queen was right she did save money she saved £21,506
    And she spent £978,484

    ReplyDelete
  11. This is very intresting everyone's awnsers are different I real want to find out the real awnser

    ReplyDelete