document.write( "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- \n" ); document.write( "

Algebra.Com's Answer #490670 by LinnW(1048) $\"\"$ $\"About$

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Let's develop a sequence that describes what happens
\n" ); document.write( "as group size increases.
\n" ); document.write( "For a group of 2 we get 2(2(2)), that is each of the two girls in
\n" ); document.write( "the group gets 2*2 oranges.
\n" ); document.write( "For a group of 3 we get 3(2(3)).\r
\n" ); document.write( "\n" ); document.write( "So a particular element of our sequence will be n(2n) were n is a positive integer.\r
\n" ); document.write( "\n" ); document.write( "Consider the equation n(2n) = 1250. Solving for n should give us the group size.
\n" ); document.write( "n(2n) = 1250
\n" ); document.write( " $\"2n%5E2+=+1250\"$
\n" ); document.write( "Divide each side by 2
\n" ); document.write( " $\"n%5E2+=+625\"$
\n" ); document.write( "Take the square root of each side and we have
\n" ); document.write( "n = 25. \n" ); document.write( "

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