Math question?

[WarriorDiplomat]

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?

Highlighted in the original is where you are stuck



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.[/QUOTE]



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 the 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

[Penn]

All, thank you! WD, I now thoroughly understand the process and my error. An artist brain attempting to cross over to the other hemisphere.
X and Y Cost $13.90
X is $13.00 more than Y
How much does Y cost
Y = .45C

Or as Wook

X + Y = 13.90
bat = ball + 13.00

Substituting the bottom line into the first line you get
Y+ 13.00 + X = 13.90

Solving this
(2)y = .90
X = .45

Substituting the X info into the first line
Y + .45 = 13.45
bat = .45

[GratefulCitizen]

A + B = $1.10
A - B = $.10

Add the equations together.

2A + 0 = $1.20

2A = $1.20

A = $.60

B = $.50

[PedOncoDoc]

Originally Posted by GratefulCitizen

A + B = $1.10
A - B = $.10

Add the equations together.

2A + 0 = $1.20

2A = $1.20

A = $.60

B = $.50

Nope. A -B = 1.0 in your equation. so 2a would equal 0.1, thus a equals 0.05.


To look at it another way:

Let's use "A" as the cost of the ball. Since the bat is $1 more, it can be rewritten as "A+1"

So A+A+1 = 1.1 simplify to 2A +1 =1.1

Now subtract 1 from both sides: 2A = 0.1

Divide both by 2: A = 0.05.

Double check your work 0.05 +(0.05 +1) = 1.1

0.05 + 1.05 = 1.1

All checks out.

[GratefulCitizen]

Originally Posted by PedOncoDoc

Nope. A -B = 1.0 in your equation. so 2a would equal 0.1, thus a equals 0.05.


To look at it another way:

Let's use "A" as the cost of the ball. Since the bat is $1 more, it can be rewritten as "A+1"

So A+A+1 = 1.1 simplify to 2A +1 =1.1

Now subtract 1 from both sides: 2A = 0.1

Divide both by 2: A = 0.05.

Double check your work 0.05 +(0.05 +1) = 1.1

0.05 + 1.05 = 1.1

All checks out.

Oops.
Glanced at it on my phone.

Thought it said one was $.10 more than the other.
That would have been the correct answer for that question.

Given proper A - B:

A + B = $1.10
A - B = $1.00

Add the equations together.

2A + 0 = $2.10

2A = $2.10

A = $1.05

B = $.05
__________________

[WarriorDiplomat]

Originally Posted by Penn

All, thank you! WD, I now thoroughly understand the process and my error. An artist brain attempting to cross over to the other hemisphere.
X and Y Cost $13.90
X is $13.00 more than Y
How much does Y cost
Y = .45C

Or as Wook

X + Y = 13.90
bat = ball + 13.00

Substituting the bottom line into the first line you get
Y+ 13.00 + X = 13.90

Solving this
(2)y = .90
X = .45

Substituting the X info into the first line
Y + .45 = 13.45
bat = .45

LOL No issue I get it my wives family is split down the science/math side with advanced degrees and the other half more the artistic side....I am lucky that I am fairly centered in understanding both without completely being overpowered one direction or the other but leaned toward math and science

Being a math oriented centrist is why I know the Wuhan Virus media crap is exactly that crap....math logic is why I know the media is lying through their teeth purposely by giving out numbers and percentages when I know that without exact data to begin with the rest is impossible to know...this is also why when Fauci and other scientists who should be good at math since MD's are more science than anything I know they are giving false data....how can you suggest logically that the death rate is 10x that of the flu when you do not know the actual basic number of infected to begin with....the entire problem relies on the exact number of infected to extrapolate from then the next logical question is how can they know who is dying from the flu turned pneumonia and who is dying from Covid19? again it cannot be determined without testing and they are barely getting tests of which the accuracy is questionable....they are using the math they use legally when it comes to surveys the 1000 cross section of people whom they claim represents the city of New York....we have no idea where they are getting these numbers unless the scientist are lying or the media is lying about their lies and everyone is pointing fingers at each other....the next step in logic is motivations for giving false information and as someone pointed out....funding??? perhaps or perhaps mass hysteria has taken over thanks to the media and every trusted member of elected government and there educated experts pushing the narrative. I have seen predictive models used that is completely false without baseline data and the fallacy of it is there are no intangibles involved in the equations...essentially predictive modeling is like calculating minutes of angle of a sniper round except snipers use terrain and conditions to extract relative factors....predictive modelling is useful but not without a baseline. The fear and panic created by this is why this is dangerous because the logic is not there in mass hysteria and the willing agents of mass hysteria is the media and leftist officials.

[JJ_BPK]

Originally Posted by Penn

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 bat cost one dollar more than the ball.

How much does the ball cost?

I looked at it backwards

0.05 + 1.05 = 1.10

1.05 - 0.05 = 1.00

[7624U]

Originally Posted by WarriorDiplomat

LOL No issue I get it my wives family is split down the science/math side with advanced degrees and the other half more the artistic side....I am lucky that I am fairly centered in understanding both without completely being overpowered one direction or the other but leaned toward math and science

Being a math oriented centrist is why I know the Wuhan Virus media crap is exactly that crap....math logic is why I know the media is lying through their teeth purposely by giving out numbers and percentages when I know that without exact data to begin with the rest is impossible to know...this is also why when Fauci and other scientists who should be good at math since MD's are more science than anything I know they are giving false data....how can you suggest logically that the death rate is 10x that of the flu when you do not know the actual basic number of infected to begin with....the entire problem relies on the exact number of infected to extrapolate from then the next logical question is how can they know who is dying from the flu turned pneumonia and who is dying from Covid19? again it cannot be determined without testing and they are barely getting tests of which the accuracy is questionable....they are using the math they use legally when it comes to surveys the 1000 cross section of people whom they claim represents the city of New York....we have no idea where they are getting these numbers unless the scientist are lying or the media is lying about their lies and everyone is pointing fingers at each other....the next step in logic is motivations for giving false information and as someone pointed out....funding??? perhaps or perhaps mass hysteria has taken over thanks to the media and every trusted member of elected government and there educated experts pushing the narrative. I have seen predictive models used that is completely false without baseline data and the fallacy of it is there are no intangibles involved in the equations...essentially predictive modeling is like calculating minutes of angle of a sniper round except snipers use terrain and conditions to extract relative factors....predictive modelling is useful but not without a baseline. The fear and panic created by this is why this is dangerous because the logic is not there in mass hysteria and the willing agents of mass hysteria is the media and leftist officials.

WD figure this problem out.

You and your patrol are walking in the woods and pick a good spot for your ORP. You get a call on the radio with another patrol wanting to do a link-up with you. One of your patrol members radio's back to the other patrol and wants a grid.

They reply with their grid and your CSM makes a suggestion after looking at his compass and map. Tell them to set their azimuth to 15 degree off the Moon we are 500m pace count off that bearing.

Whats your answer !

[WarriorDiplomat]

Originally Posted by 7624U

WD figure this problem out.

You and your patrol are walking in the woods and pick a good spot for your ORP. You get a call on the radio with another patrol wanting to do a link-up with you. One of your patrol members radio's back to the other patrol and wants a grid.

They reply with their grid and your CSM makes a suggestion after looking at his compass and map. Tell them to set their azimuth to 15 degree off the Moon we are 500m pace count off that bearing.

Whats your answer !

The CSM was then and is no doubt now nuttier than a squirrel turd

LOL I remember hearing about that

[scooter]

Algebra version, for those confused by the verbal logic version of this.

Ball = X
Bat = (X + 1.00)
Total cost = 1.10

Total cost = X + (X + 1.00)

Total cost = 2X + 1.00

1.10 = 2X + 1.00
-1.00 -1.00
---------------------------
.10 = 2X

.10/2 = 2X/2

.05 = X

.05 = Ball price

[PSM]

A deeper question is, if you give the person at the cash register a $2 bill (sic) how much change well you receive, if any?

[scooter]

Originally Posted by PSM

A deeper question is, if you give the person at the cash register a $2 bill (sic) how much change well you receive, if any?

Trick question. Store is closed for COVID.

[PSM]

Originally Posted by scooter

Trick question. Store is closed for COVID.

Nice try!

My step-father and a neighbor raised quarter horses in the '60s and went to the races every weekend. He had stacks of $2 bills gummed together like counter checks (some of you youngsters may have to look that up). Before I went to Okinawa in '68, he gave me ten. The first day on the island I bought a burger and Coke at the PX and paid with a two dollar bill. I got change for a twenty back. And I had nine left.

[PedOncoDoc]

Originally Posted by PSM

Nice try!

My step-father and a neighbor raised quarter horses in the '60s and went to the races every weekend. He had stacks of $2 bills gummed together like counter checks (some of you youngsters may have to look that up). Before I went to Okinawa in '68, he gave me ten. The first day on the island I bought a burger and Coke at the PX and paid with a two dollar bill. I got change for a twenty back. And I had nine left.

I've heard stories of the younger generation calling the cops on people trying to pay with $2 bills thinking it's counterfeit. They didn't realize that the US had made currency in that denomination.

[PSM]

Originally Posted by PedOncoDoc

I've heard stories of the younger generation calling the cops on people trying to pay with $2 bills thinking it's counterfeit. They didn't realize that the US had made currency in that denomination.

They still do occasionally. The last printing was in 2019 but none will be printed this year. They're still popular at racetracks apparently.