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In a bin at the Coolio Convenience Store, there are 200 candies. Of these candies, 90% are black and the rest are gold. After Yasmine eats some of the black candies, 80% of the remaining candies in the bin are black. How many black candies did Yasmine eat?

 Jun 12, 2020
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The number of black candies are:

9/10 * 200 = 180

 

The number of gold candies are:

1/10 * 200 = 20

 

Now we let x represent the number of black candies she ate.

 

180-x is the number of black candies left, 200-x is the total number of candies left. This final fraction is 8/10(because the numerator is black candies and denominator total candies)

 

\(\frac{180-x}{200-x}=\frac{8}{10}\\ 1800-10x=1600-8x\\ 200=2x\\ x=100 \)

 

Therefore Yasmine ate \(\boxed{100\ \text{candies.}}\)

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 Jun 12, 2020

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