Question

At Laurita's Bakery, 35 of the baked goods are pies, and the rest are cakes. 13 of the pies are coconut. 16 of the cakes are angel food. a. What fraction of all of the baked goods at Laurita's Bakery are coconut pies? b. What fraction of all of the baked goods at Laurita's Bakery are angel food ca

Answer 1

`a. (1)/(5)\\b. (1)/(15)`

Explanation:

Given that:

Fraction of pies =
`\frac{3}5` of the total bakes goods

And the rest are cakes

Let total number of baked goods in the Bakery =
`x`

As per question statement, pies =
`\frac{3}5x`

Amount of cakes =
`x -(3)/(5)x = (2)/(5)x`

`(1)/(3)` of the pies are coconut.

Fraction of coconut =
`(1)/(3)* \frac{3}5x = (1)/(5)x`

`\frac{1}6` of the cakes are angel food.

Fraction of angle food =
`(1)/(6)* \frac{2}5x = (1)/(15)x`

a) What fraction of all of the baked goods are coconut pies.

This fraction can be found by dividing the fraction with the total amount of baked goods.

So, the answer is:

`((1)/(5)x)/(x) = (1)/(5)`

b) What fraction of all of the baked goods are angle food.

This fraction can be found by dividing the fraction with the total amount of baked goods.

So, the answer is:

`((1)/(15)x)/(x) = (1)/(15)`