What is the Cost of a book that costs 1$ plus half of its price?

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In summary, the cost of a book that costs $1 plus half of its price can be $2, $1.50, $0.98, $0.50, $1.65, or any infinite amount of money. It all depends on the interpretation of the question and the definition of "cost."
  • #1
Deicider
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I don't know if this already been posted but here it goes:


What is the Cost of a book that costs 1$ plus half of its price?
 
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  • #2
1/2x + 1 = x

x=2

The book costs $2?
 
  • #3
Oriako said:
1/2x + 1 = x

x=2

The book costs $2?

Nope.
 
  • #4
The book is priceless. :D
 
  • #5
Book has a price, and i don't think anyone here can find it.
 
  • #6
Deicider said:
Nope.

I don't understand why you think Oriako is wrong, please explain.

DaveE
 
  • #7
>What is the Cost of a book that costs 1$ plus half of its price?

The answer is $1.50.

As you stated, the book costs $1.00.
Add half its price and the cost becomes $1.50.
 
  • #8
Goongyae said:
As you stated, the book costs $1.00.
Add half its price and the cost becomes $1.50.

Ok, so the fault is with English, then? The difference between:

What is the Cost of (a book that costs 1$) plus (half of its price)?

Versus:

What is the Cost of a book that (costs 1$ plus half of its price)?

DaveE
 
  • #10
LMAO @ this thread

I still want to know if my answer of $1.50 was correct or not.
 
  • #11
Are you going to tell us the answer? I'm intrigued what it could be...
 
  • #12
Not this nonsense, again. You've posted this in another forum, trying to play poorly-worded games with "price" versus "cost".

Ignoring the silly nonsense, with "cost" and "price" being synonyms, the answer is of course $2.
Pay attention to the silly nonsense and the answer is a cumquat (or whatever you want).
 
  • #13
D H said:
Not this nonsense, again. You've posted this in another forum, trying to play poorly-worded games with "price" versus "cost".

Ignoring the silly nonsense, with "cost" and "price" being synonyms, the answer is of course $2.
Pay attention to the silly nonsense and the answer is a cumquat (or whatever you want).

Nope.
Still wrong answer.
 
  • #14
If P = price and C = cost, then C = $1 + P/2. For instance, for a dime novel, the price is $0.1 and the cost is $1.05. That's why you don't see dime novels anymore. However, for a book with a price of $1,000,000,000,000,000,000,000,000.02, the cost would be $500,000,000,000,000,000,000,001.01 and since this is beyond the means of most publishers, you don't see these kinds of books anymore either.
 
  • #15
I've finally solved it! The answer is either $0.50 or $0.98.

>What is the Cost of a book that costs 1$ plus half of its price?

We have the profit of buying the book at -$1, plus half the price of the book at $0.50, for a total profit of $-0.50, or a total cost of $0.50.

But what if the statement means "What is the Cost of a book that costs one dollar, plus half of its (the dollar's) price?"

It is impossible to buy a dollar anywhere (you can certainly trade something for a dollar, but it's not called "buying" a dollar). Therefore the only meaningful price atributable to a dollar would be the price paid by the Treasury Department to manufacture it, i.e. $0.04.

Thus we have the profit of buying the book at -$1, plus half the price of the dollar at $0.02, for a total profit of $-0.98, or a total cost of $0.98.
 
  • #16
Goongyae said:
I've finally solved it! The answer is either $0.50 or $0.98.

>What is the Cost of a book that costs 1$ plus half of its price?

We have the profit of buying the book at -$1, plus half the price of the book at $0.50, for a total profit of $-0.50, or a total cost of $0.50.

But what if the statement means "What is the Cost of a book that costs one dollar, plus half of its (the dollar's) price?"

It is impossible to buy a dollar anywhere (you can certainly trade something for a dollar, but it's not called "buying" a dollar). Therefore the only meaningful price atributable to a dollar would be the price paid by the Treasury Department to manufacture it, i.e. $0.04.

Thus we have the profit of buying the book at -$1, plus half the price of the dollar at $0.02, for a total profit of $-0.98, or a total cost of $0.98.

Not correct but you're close.
Go for it, i see the potential in you.
 
  • #17
Deicider said:
I don't know if this already been posted but here it goes:What is the Cost of a book that costs 1$ plus half of its price?

Well...lets see...

Case 1: as the question is worded, the book costs $2

Case 2: we take the question at face value and don't think about it too much, the book costs $1

Case 3: the book costs 1 dollar and is then marked up by 50%, the book costs $1.50

Case 4: because Cost is capitalized, it is obviously referring to the manufacturer's cost of making the book. Assuming that the manufacturer sells it at a 10% profit, the store then sells it again for a 10% profit, and we use the value from case 1, the book Costs about $1.65

Case 5: see goongyae's https://www.physicsforums.com/showpost.php?p=3171447&postcount=15", i like it (but if you combine both parts, wouldn't the book end up costing either $0.52 or $1.52, depending on interpretation of the word "plus"?)

Case 6: we hire the professional detective from this https://www.physicsforums.com/showthread.php?t=477512", who then promptly investigates the matter and informs us that our initial value of $2 is correct
 
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  • #18
the Cost of a book that costs 1$ = 1$
 
  • #19
is it either 2.25 or 3.375 ? or something along those lines...like the number plus half of itself repeatedly? or it is either an infinite amount of $'s.or is it free?
 
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  • #20
f(x)'s first case is correct.

Cost of the book is x. The question reads as cost of the book equals $1 plus half the cost of the book.

So: x=1+.5x


Thus: x=2
 

FAQ: What is the Cost of a book that costs 1$ plus half of its price?

What is the cost of a book that costs 1$ plus half of its price?

The total cost of a book that costs 1$ plus half of its price would be 1.50$.

How do you calculate the total cost of a book that costs 1$ plus half of its price?

To calculate the total cost, you would first need to find half of the price of the book by dividing it by 2. In this case, half of the price would be 0.50$. Then, you would add the original price of 1$ to the half price, giving you a total of 1.50$.

Is there a formula for calculating the cost of a book that costs 1$ plus half of its price?

Yes, the formula for calculating the total cost of a book that costs 1$ plus half of its price would be (1 + 0.5) = 1.50$.

Can the cost of a book that costs 1$ plus half of its price be expressed as a mathematical equation?

Yes, the cost of a book can be expressed as a mathematical equation (1 + 0.5) = 1.50$ or C = (1 + 0.5) where C represents the total cost.

Why is the cost of a book that costs 1$ plus half of its price 1.50$ and not 2$?

The cost of a book that costs 1$ plus half of its price is 1.50$ because half of the price is only 0.50$, not 1$. Therefore, adding the original price of 1$ to half of its price would give you a total of 1.50$.

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