One for the philosopheers

veryangryman

I cant get a straight answer from this one

If a crab and a half weigh a pound and a half, but the half crab weighs half as much again as the whole crab, what do half the whole crab and the whole of the half crab weigh?

uch

Free Cake for All!!

Jake.

What do you think

Fake Scores

= 1 crab (1 pound)

algebra not philosophy (x/2 + x/2 = x)

alchemist33

What colour was the crab?

Leg End Reject

Are the crabs the same size? Or rather, was the half crab the same size of the whole crab when it was whole itself?

Did the half crab sing "You can make me whole again"?

Riddle me this, why do I sound like The Riddler?

Do the whole crab and the half crab care?

Do I even care at this stage?

Answers on a postcard please.

uch

alchemist33 wrote: »

What colour was the crab?

Same colour as the cake that was free on Tuesday

Leg End Reject

alchemist33 wrote: »

What colour was the crab?

Which one - the whole or half crab?

uch

Only thing that will solve this mystery is if you tell me whether you prefer a Custard Slice or a Coffee Slice

0lordy

2.1 pounds

dotsman

x = the weight of the whole crab
y = the weight of the half crab (note, the trick question is that the 2 crabs don't necessarily weigh the same)

a crab and a half weigh a pound and a half => x + y = 3/2
the half crab weighs half as much again as the whole crab => y = 3x/2

=> x + 3x/2 = 3/2
=> 2x + 3x = 3
=>5x = 3
=> x = 3/5

Therefore:
y = 3x/2
2y = 3x
2y = 3 (3/5)
2y = 9/5
y = 9/10

Finally, the question is "what do half the whole crab and the whole of the half crab weigh"

y + x/2 = ?

=> 9/10 + (3/5)/2 = ?
=> 9/10 + 3/10 = ?
ANSWER = 12/10 lbs (or 1.2 lbs)


OR (the shorter way - don't necessarily need to solve for y as long as you have x):

y + x/2 =?
=? 3x/2 + x/2 =?
=> 3(3/5)/2 + (3/5)/2 = ?
Answer = 12/10 lbs (or 1.2 lbs)

uch

dotsman wrote: »

x = the weight of the whole crab
y = the weight of the half crab (note, the trick question is that the 2 crabs don't necessarily weigh the same)

a crab and a half weigh a pound and a half => x + y = 3/2
the half crab weighs half as much again as the whole crab => y = 3x/2

=> x + 3x/2 = 3/2
=> 2x + 3x = 3
=>5x = 3
=> x = 3/5

Therefore:
y = 3x/2
2y = 3x
2y = 3 (3/5)
2y = 9/5
y = 9/10

Finally, the question is "what do half the whole crab and the whole of the half crab weigh"

y + x/2 = ?

=> 9/10 + (3/5)/2 = ?
=> 9/10 + 3/10 = ?
ANSWER = 12/10 lbs (or 1.2 lbs)


OR (the shorter way - don't necessarily need to solve for y as long as you have x):

y + x/2 =?
=? 3x/2 + x/2 =?
=> 3(3/5)/2 + (3/5)/2 = ?
Answer = 12/10 lbs (or 1.2 lbs)

Haha but you never mentioned if there was a custard or Coffee Slice in the equations

Your Face

What type of dog is this?

Thepillowman

African or European

Captain Red Beard

1.25 lbs

Rows Grower

It was said already 2.1lbs.

The crab is .6lb the half crab is .9lb

Half .6 and double .9 = 2.1.

knucklehead6

Leg End Reject wrote: »

Are the crabs the same size? Or rather, was the half crab the same size of the whole crab when it was whole itself?

Did the half crab sing "You can make me whole again"?

Riddle me this, why do I sound like The Riddler?

Do the whole crab and the half crab care?

Do I even care at this stage?

Answers on a postcard please.

DAMMIT

Now you’ve put that song in my head.

https://youtu.be/1V0xQkk9kbc

cj maxx

I didn't even understand the question, never mind the answers

The Mighty Quinn

Thepillowman wrote: »

African or European

I don't know that!

Bobblehats

dotsman wrote: »

x = the weight of the whole crab
y = the weight of the half crab (note, the trick question is that the 2 crabs don't necessarily weigh the same)

a crab and a half weigh a pound and a half => x + y = 3/2
the half crab weighs half as much again as the whole crab => y = 3x/2

=> x + 3x/2 = 3/2
=> 2x + 3x = 3
=>5x = 3
=> x = 3/5

Therefore:
y = 3x/2
2y = 3x
2y = 3 (3/5)
2y = 9/5
y = 9/10

Finally, the question is "what do half the whole crab and the whole of the half crab weigh"

y + x/2 = ?

=> 9/10 + (3/5)/2 = ?
=> 9/10 + 3/10 = ?
ANSWER = 12/10 lbs (or 1.2 lbs)


OR (the shorter way - don't necessarily need to solve for y as long as you have x):

y + x/2 =?
=? 3x/2 + x/2 =?
=> 3(3/5)/2 + (3/5)/2 = ?
Answer = 12/10 lbs (or 1.2 lbs)

I bet you’re good with decimals

Philipx

Thepillowman wrote: »

African or European

Feck ya, you got in just ahead of me :p

Princess Consuela Bananahammock

Thepillowman wrote: »

African or European

racist!!!

knucklehead6

Princess Consuela Bananahammock wrote: »

racist!!!

IVE BEEN TRIGGERED!!!

Jimmy Bottlehead

Atari Jaguar.

Earthhorse

uch wrote: »

Haha but you never mentioned if there was a custard or Coffee Slice in the equations

Custard and crab; a classic combination!

Badly Drunk Boy

Jimmy Bottlehead wrote: »

Atari Jaguar.

Atari Crabuar.

Potatoeman

Sounds like you need some kelp.

YFlyer

veryangryman wrote: »

I cant get a straight answer from this one

If a crab and a half weigh a pound and a half, but the half crab weighs half as much again as the whole crab, what do half the whole crab and the whole of the half crab weigh?

Pound.

dotsman

Rows Grower wrote: »

It was said already 2.1lbs.

The crab is .6lb the half crab is .9lb

Half .6 and double .9 = 2.1.

Ahh, but it's down to the interpretation of "whole of the half crab". You are interpreting that as to mean 2 half crabs (i.e. the whole of the crab that was previously halved). In terms of maths, "the whole" just means 1. So the whole of a half crab is 1(half-crab).

Think of it another way...

If someone was to order a half-pint of Guinness in a pub, drink it and then declare "I just drank the whole half-pint", would they be saying they drank a "half-pint" or a "pint" (2 half-pints)?

the beer revolu

Earthhorse wrote: »

Custard and crab; a classic combination!

You might joke, but a signature dish of The Tannery in Dungarvan is.....Crab Brulée - which is, basically, crab and custard.

kowloon

I'd see a doctor for that.

0.75 pounds

Whole crsb is 1,half crab is 0.5 pounds


Half of each is 0.5 plus 0.25.......0.75??

the beer revolu

[Deleted User] wrote: »

0.75 pounds

Whole crsb is 1,half crab is 0.5 pounds


Half of each is 0.5 plus 0.25.......0.75??

The half crab is heavier than the whole crab.