SOLUTION: 1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was-

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Question 814617: 1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was-
Answer by LinnW(1048) About Me  (Show Source):
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Let's develop a sequence that describes what happens
as group size increases.
For a group of 2 we get 2(2(2)), that is each of the two girls in
the group gets 2*2 oranges.
For a group of 3 we get 3(2(3)).
So a particular element of our sequence will be n(2n) were n is a positive integer.
Consider the equation n(2n) = 1250. Solving for n should give us the group size.
n(2n) = 1250
2n%5E2+=+1250
Divide each side by 2
n%5E2+=+625
Take the square root of each side and we have
n = 25.