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If the total weight of the pumpkins in a pumpkin patch incre

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If the total weight of the pumpkins in a pumpkin patch incre [#permalink] New post   22 Jul 2019, 02:47
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If the total weight of the pumpkins in a pumpkin patch increases by a factor of 10 while the number of pumpkins decreases by 20%, by what factor does the average weight of a pumpkin in the pumpkin patch increase?

(A) 2

(B) 8

(C) 9.8

(D) 12

(E) 12.5
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E
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Re: If the total weight of the pumpkins in a pumpkin patch incre [#permalink] New post   22 Jul 2019, 09:42
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We can calculate the average weight of a group of items using the average formula:

average = total / number

Let's call the original weight of the pumpkins T, and the original number of the pumpkins N. This would look like this:

average weight = T / N

Now we can substitute our new values:

new average weight = 10 T / (1 - .20) N
new average weight = 10 T / .8 N
new average weight = 12.5 T / N

The answer is E.
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Re: If the total weight of the pumpkins in a pumpkin patch incre [#permalink] New post   22 Aug 2022, 12:40
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the total weight of the pumpkins in a pumpkin patch incre [#permalink]
22 Aug 2022, 12:40
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