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Question

lilly

Council Member
A bat and ball cost a $1.10 in total. The batcosts a $1.00 more than the ball.

How much does the ball cost?
 

lilly

Council Member
No takers on this yet or are you all watching 'Meet The Press'? Maybe a bit more difficult than it looks.
 
Yes, you are right. Can you tell me how you came up with that amount.
Hello Lily, the key is the wording of the problem. The bat costs a dollar MORE (the key word) than the ball.

Bat = price of ball + $1.00
Ball = 5 cents
Bat (equals a dollar more than ball) = 5 cents (cost of ball) +$1.00 = $1.05
$1.05 + 5 cents = $1.10

If the cost of the ball were 10 cents, that would mean the cost of the bat would = 10 cents + $1.00 or $1.10 which is too much for the bat alone. If the ball cost 7 cents, that would mean the bat would = 7 cents + $1.00 or $1.07. $1.07 + 7 cents = $1.14 which is too much. The key to the answer are the words "more than".
Hope that helps.
Best,
Knot
 

lilly

Council Member
Hello Lily, the key is the wording of the problem. The bat costs a dollar MORE (the key word) than the ball.

Bat = price of ball + $1.00
Ball = 5 cents
Bat (equals a dollar more than ball) = 5 cents (cost of ball) +$1.00 = $1.05
$1.05 + 5 cents = $1.10

If the cost of the ball were 10 cents, that would mean the cost of the bat would = 10 cents + $1.00 or $1.10 which is too much for the bat alone. If the ball cost 7 cents, that would mean the bat would = 7 cents + $1.00 or $1.07. $1.07 + 7 cents = $1.14 which is too much. The key to the answer are the words "more than".
Hope that helps.
Best,
Knot
Yes Knot and simple 8th grade algebra can give you the answer as well if you are looking in the right direction. Many Psychologists and Economists have used this in there teaching to explain how many people get caught up in only thinking one way and never outside the box.

This man has some really interesting ideas on the subject.

http://www.strategy-business.com/media/file/03409.pdf

Edit: I should have told you to keep scrolling down on this link as the really interesting parts are further down on the page.
 
Yes Knot and simple 8th grade algebra can give you the answer as well if you are looking in the right direction. Many Psychologists and Economists have used this in there teaching to explain how many people get caught up in only thinking one way and never outside the box.

This man has some really interesting ideas on the subject.

http://www.strategy-business.com/media/file/03409.pdf

Edit: I should have told you to keep scrolling down on this link as the really interesting parts are further down on the page.
I kind of thought you knew the answer lilly....but wasn't totally sure. A very interesting article, thank you for sharing. I think it may also be related to a number of things long observed and known about the differences in humankind regarding vanity, delusion, denial, introspection, humility and even the narcissistic personality disorder (click here)

I think we may all want to think of ourselves as good people who know the "right" (correct) direction in life....While few, to none of us, are perhaps fond of finding out we could possibly be wrong....some of us seem to be deathly afraid of finding out such a thing or that anyone might see us as having human failings, thus may devote our personalities and lives to trying to ensure others believe we are "good" and "right" (correct) to the point it appears to exhibit an obsession (and the prospects for accompanying delusion and denial) which exposes the very frailty (a weakness) anyone may seek to avoid others observing about them.

Fear of seeing one's true self or one's mistakes or even contemplating them seems to be behind this era of "leadership" to what seems and unusual extent when it would seem the path to improvement and progress is not by denying or deluding one's self about frailties, mistakes or imperfections, but actively seeking them out as a means to steadily improve or maintain an improved state.

How many aircraft pilots delude themselves or deny any need for an inspection of the craft they will be flying, unless perhaps they were either suicidal or simply did not care about their own lives much less any passengers they may be carrying on the craft they will be piloting.

Just look at the recent cruise liner disaster and the behavior of the captain of the ship. Does he truly believe that someone will think he stumbled and just happened to "fall" into a launched lifecraft involuntarily? How about the politicians of today? Do they sincerely believe that a lot of people are going to believe some of what they offer that sound like the captain's lifeboat "story"? Same with corporate heads who seem to want to deny or delude themselves about policies, practices and ethics (even if ethical, but just borderline) that do their own corporations, industry and even national or global economies great harm.

Take care and very best,
Knot
 

lilly

Council Member
snip from your great post.

Same with corporate heads who seem to want to deny or delude themselves about policies, practices and ethics (even if ethical, but just borderline) that do their own corporations, industry and even national or global economies great harm.

I right away thought of global economics. Thank you for your input.
 

JackDallas

Senator
Supporting Member
You don't need algebra to figure it out. It's easy. You said the bat was a dollar more than the ball; so take a dollar away from the total and divide the remainder by half. $1.10 -$1.00=.10/2=.05 Bat is $1.05, $1.00 more than the ball.
 

mark14

Council Member
Here is an old one for you. If it is 15 miles to the top of a hill and you leave from the bottom and drive to the top at 30 miles per hour, how many miles per hour do you have to drive down from the top to the bottom of the hill at to have an average speed of 60 miles per hour?
 

JackDallas

Senator
Supporting Member
Here is an old one for you. If it is 15 miles to the top of a hill and you leave from the bottom and drive to the top at 30 miles per hour, how many miles per hour do you have to drive down from the top to the bottom of the hill at to have an average speed of 60 miles per hour?
90 mph?
 
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