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# Sadie sells half the paintings in her collection, gives one-third of

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Re: Sadie sells half the paintings in her collection, gives one-third of [#permalink]
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Bunuel wrote:
Sadie sells half the paintings in her collection, gives one-third of her paintings to friends, and keeps the remaining paintings for herself. What fraction of her collection does Sadie keep?

A. 1/18
B. 1/12
C. 1/9
D. 1/6
E. 1/3

Let us pick an easy number , multiple of $$2$$ and $$3$$ , since we have $$\frac{1}{2}$$ and $$\frac{1}{3}$$

Let her have $$12$$ paintings.

Sold = $$6$$

Given away = $$\frac{1}{3} * 12 =4$$

She has remaining = $$12 -(6+4 ) = 2$$

Fraction of original that she has = $$\frac{2}{12} = \frac{1}{6}$$

Ans-D

Hope it's clear.
Re: Sadie sells half the paintings in her collection, gives one-third of [#permalink]
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