Math question?

Penn · 04-20-2020, 16:35

I am a bit hard headed in some area's, but also one that follows a question, this one I've taken apart several times, and still need to understand why my answer of .10c is incorrect.

What is a declarative statemen?

A declarative sentence (also know as a statement) makes a statement and ends with a period. It's named appropriately because it declares or states something. It might be more helpful, though, to think about what these kinds of sentences don't do. They don't ask questions, make commands, or make statements with emotion.

A bat and ball Cost $1.10.

The sentence states the cost of the bat and ball, declaring that the cost of a “bat and ball cost $1.10.

The second declarative statement

The bat cost one dollar more than the ball.

How much does the ball cost?

**Pete** · 04-20-2020, 16:39

It ain't ten cents.

This is a humor thingy.

Penn · 04-20-2020, 16:57

It'd actually question in a book written by a Nobel prize winner, Daniel Kahneman, had just finish a book on breaking down question, and remembered a required reading for a class: Thinking fast and slow, picking it up again, I remember how difficult some of the problems set were, this being one of them, which I still don't understand, why my effort is wasted, and why I came to the same conclusion 5yrs later?

PedOncoDoc · 04-20-2020, 16:59

Quote:

Originally Posted by Pete

It ain't ten cents.

This is a humor thingy.

I'd say the ball costs $0.05 and the bat $1.05 for a total of $1.10 assuming that the individual prices are not higher than the package deal.

Penn · 04-20-2020, 17:03

Ok, PenDoc. explain if you will the process you employed to reach that conclusion.

Bat and Ball cost $1.10. There is no separation, its a declarative statement.

The bat cost one dollar more than the ball.

**Pete** · 04-20-2020, 17:08

Because there is no fixed value of either item in both statements.

Just that one value is "one dollar more".

You have fixed yourself to $1 and try and solve the problem.

Penn · 04-20-2020, 17:18

Alright, I fix/settled in a @ $1.00 for the bat, which would imply the remaining balance to be .10c.

Why is .05c the correct answer?

**Pete** · 04-20-2020, 17:27

$1 more than 10 cents is $1.10 plus 10 cents equals $1.20.

WarriorDiplomat · 04-20-2020, 17:42

Quote:

Originally Posted by Penn

I am a bit hard headed in some area's, but also one that follows a question, this one I've taken apart several times, and still need to understand why my answer of .10c is incorrect.

What is a declarative statemen?

A declarative sentence (also know as a statement) makes a statement and ends with a period. It's named appropriately because it declares or states something. It might be more helpful, though, to think about what these kinds of sentences don't do. They don't ask questions, make commands, or make statements with emotion.

A bat and ball Cost $1.10.

The sentence states the cost of the bat and ball, declaring that the cost of a “bat and ball cost $1.10.

The second declarative statement

The bat cost one dollar more than the ball.

How much does the ball cost?

The bat would cost 1.05 while the ball cost .05

The nickels cancel each other out leaving 1$ for the bat

Penn · 04-20-2020, 17:43

But thats not the declarative statement, the declarative statements is:
A bat and Ball cost $1.10.

FIXing the price for the two at $1.10

The question reads as a direct single statement. The second statement declares the value of the bat and at a fix price of One (1) dollar.

Deductive reasoning as a property of subtraction, gets me to the fixed cost of the ball at .10C.

There is no suggestion to add the total cost for the bat and ball, which is fixed at $1.10, to the result of the deductive value of $1.10 +.10= $1.20. when the second declarative statement fixes the bat at 1.00 dollar.

Could the problem be flawed?

WarriorDiplomat · 04-20-2020, 17:53

Quote:

Originally Posted by Penn

But thats not the declarative statement, the declarative statements is:
A bat and Ball cost $1.10.

FIXing the price for the two at $1.10

The question reads as a direct single statement. The second statement declares the value of the bat and at a fix price of One (1) dollar.

Deductive reasoning as a property of subtraction, gets me to the fixed cost of the ball at .10C.

There is no suggestion to add the total cost for the bat and ball, which is fixed at $1.10, to the result of the deductive value of $1.10 +.10= $1.20. when the second declarative statement fixes the bat at 1.00 dollar.

Could the problem be flawed?

The second declarative statement does not assign the cost breakdown it simply states the bat cost 1$ more than the ball the first statement gives the combined cost if the ball cost .10 and you spent 1$ on the bat then the bat would only have cost .90 more than the ball.....the problem requires you to come up with a 1$ difference the only way to place the value difference is by splitting everything over 1$ by half and assigning the split to each product so that everything over the 1$ is cancelled out leaving the true difference in cost at 1$...the bat costing 1.05 the ball costing .05 the subtraction should be the cost of the ball subtracted from the cost of the bat leaving a difference of 1$

Penn · 04-20-2020, 18:09

WD, I understand the math as presented by you.

By valuing the ball at .10C and adding to the total valet the two fixed at $1.10 the result is $1.20, I get that. However a declarative sentence is finished statement.

The first of the two decorative statements assess values first at $1.10 and the second at $1.00.

The statement $1.10 is final. Nothing to be added.
The statement bat value @ 1.00 is final.
The question how much cost of the ball is deductive.
A-B=C
C+B=A

Edit to add: I am grateful fo all taking the time to walk me through this problem. It interesting that my thinking understand your reasoned replies, but is still conflicted with the rational responses.

wook · 04-20-2020, 18:14

bat + ball = 1.10
bat = ball + 1.00

Substituting the bottom line into the first line you get
ball + 1.00 + ball = 1.10

Solving this
(2)ball = .10
ball = .05

Substituting the ball info into the first line
bat + .05 = 1.10
bat = 1.05

Wook

Penn · 04-20-2020, 18:22

Wook, that framing is what was missing for me. The issue was sentence structure and not understanding the method to restructure/frame the question as a form to decipher. Thank you all again!!!!!

WarriorDiplomat · 04-20-2020, 20:09

Quote:

Originally Posted by Penn

WD, I understand the math as presented by you.

By valuing the ball at .10C and adding to the total valet the two fixed at $1.10 the result is $1.20, I get that. However a declarative sentence is finished statement.

The first of the two decorative statements assess values first at $1.10 and the second at $1.00.

The statement $1.10 is final. Nothing to be added.
The statement bat value @ 1.00 is final.
The question how much cost of the ball is deductive.
A-B=C
C+B=A

Edit to add: I am grateful fo all taking the time to walk me through this problem. It interesting that my thinking understand your reasoned replies, but is still conflicted with the rational responses.

I understand what you are saying but you are reading the problem wrong it does not say the bat value is $1 it says the bat costs $1 MORE THAN the ball and that the TOTAL COST of both is $1.10

I can see clearly where you are stuck and that is how you are reading he declarative statements for some reason you understand it to give you a definitive amount of value for the bat which it does not....if it did give you the exact value of the bat then the question has no point and the answer would be simply right/wrong or agree/disagree