The Bakery

At a Bakery, ⅗ of the baked goods are pies, and the rest are cakes. ⅓ of the pies are coconut. ⅙ of the cakes are angel food.
What fraction of all the baked goods at the Bakery are coconut pies?

What fraction of all the baked goods at the Bakery are angel-food cakes?

Correct answer:

c =  1/5
a =  1/15

Step-by-step explanation:

$$\begin{gathered} p=\frac{3}{5}=0.6 \\ c=\frac{1}{3}\cdot p=\frac{1}{3}\cdot \frac{3}{5}=\frac{1\cdot 3}{3\cdot 5}=\frac{3}{15}=\frac{1}{5}=0.2 \end{gathered}$$

$a=\frac{1}{6}\cdot (1-p)=\frac{1}{6}\cdot (1-\frac{3}{5})=\frac{1}{15}=0.0667$

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