lol this question will mind F$%^ you
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lol this question will mind F$%^ you
gfk1d Tue Jul 13, 2010 5:49 am
According to Mrs. Randolph's will, each of her great-grandchildren living in Georgia received $700 more than each of her great-grandchildren living in Florida. In all, $206,100 was divided between 36 great-grandchildren. The Georgian great-grandchildren decide that the will wasn't really fair, so they each contribute $175 to be divided among the Floridian great-grandchildren. If all great-grandchildren now have an equal share, how many great-grandchildren live in Georgia?
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Re: lol this question will mind F$%^ you
Marissa Sun Jul 18, 2010 10:54 am
Just kidding.
The answer is 27. I used two methods to solve this problem.
I recommend you read both methods, however if you find the first one confusing, the second one should make more sense.
Method One)
Let A = number of GA children. They each received Ax dollars.
They received a total of: 206100 dollars.
Then 36-A = number of FL children.
They each received x-700 dollars.
They received a total of: (36-A) (x-700 dollars.
So, Ax+ (36-a)(x-700) = 206100
A= 231,300-36x divided by 700
The a children from GA kicked in $175 each,
so they each received: x-175 dollars.
They received a total of: A(x-175)dollars.
Then some more of that, which you don't care about because I am going to show an easier way in "section two"
Solve
Ax-175x+36x-6300-Ax+175A=206,100
36x = 212,400 so x=5900
And then:
231,300-36(59) / 700 = 27
Therefore, there are 27 great-grandchldren in Georgia.
But then, if you want to be able to do it without all the work you can do this:
700-175=525, so for the Floridians to receive 525 dollars, they need to get 3 payments of $175 (because 175*3=525). So the ratio of A (Georgia) children to B (Florida) children, is three to one. So the answer must be 27 Georgian children and 9 Floridians.
However I don't advise making the second method a habit because that is the method that I used on my algebra tests to get the right answer without learning the smart way to do it. Which is bad, because eventually, I moved on to much, much harder math, and because I didn't know the actual equations, and how to properly execute them, I was hopelessly lost in classes like geometry and math analysis.
The answer is 27. I used two methods to solve this problem.
I recommend you read both methods, however if you find the first one confusing, the second one should make more sense.
Method One)
Let A = number of GA children. They each received Ax dollars.
They received a total of: 206100 dollars.
Then 36-A = number of FL children.
They each received x-700 dollars.
They received a total of: (36-A) (x-700 dollars.
So, Ax+ (36-a)(x-700) = 206100
A= 231,300-36x divided by 700
The a children from GA kicked in $175 each,
so they each received: x-175 dollars.
They received a total of: A(x-175)dollars.
Then some more of that, which you don't care about because I am going to show an easier way in "section two"
Solve
Ax-175x+36x-6300-Ax+175A=206,100
36x = 212,400 so x=5900
And then:
231,300-36(59) / 700 = 27
Therefore, there are 27 great-grandchldren in Georgia.
But then, if you want to be able to do it without all the work you can do this:
700-175=525, so for the Floridians to receive 525 dollars, they need to get 3 payments of $175 (because 175*3=525). So the ratio of A (Georgia) children to B (Florida) children, is three to one. So the answer must be 27 Georgian children and 9 Floridians.
However I don't advise making the second method a habit because that is the method that I used on my algebra tests to get the right answer without learning the smart way to do it. Which is bad, because eventually, I moved on to much, much harder math, and because I didn't know the actual equations, and how to properly execute them, I was hopelessly lost in classes like geometry and math analysis.
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