A box of fruit contained twice as many apples as pears. Chris and Lily divided them up so that Chris had twice as many pieces of f

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1. Given : A box of fruit contains twice as many apples as pears.

   Christy and Lily divided them up so that Christy had twice as many pieces of fruit as Lily.

   To Find : Which one of the following statements is always true?

   (A) Christy took at least one pear.

   (B) Christy took twice as many apples as pears.

   (C) Christy took twice as many apples as Lily.

   (D) Christy took as many apples as Lily got pears.

   (E) Christy took as many pears as Lily got apples.​

   Solution:

   A box of fruit contains twice as many apples as pears.

   Let say Pears = X

   => Apples = 2X

   Total fruits = X + 2X = 3X

   Christy and Lily divided them up so that Christy had twice as many pieces of fruit as Lily

   => Let say Lilly has fruits = Y

   then Christy = 2Y

   => Total = Y + 2Y = 3Y

   3Y = 3X

   => Y = X

   Hence Lilly has fruits = X

   and Christy = 2X

   Let say Lilly takes = P Pears

   => Lilly takes = X – P apples as Lilly has to take X fruits.

   Christ takes = X – P pears as there are total X pears

   Christy Take = 2X – (X – P) = X + P Apples

   Christ takes = X – P pears

   Lilly takes = X – P apples

   Christy took as many pears as Lily got apples

   This is always True

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