At Laurita’s Bakery, 3/5 of the baked goods are pies, and the rest are cakes. 1/3 of the pies are coconut. 1/6 of the cakes are

Answer:

Part a) The fraction of coconut pies among all the baked goods at Laurita’s Bakery is 1/5

Part b) The fraction of angel food cakes among the baked goods at Laurita’s Bakery is 1/15

Step-by-step explanation:

Let

x -----> total baked goods

It is known that

1) 3/5 of the goods are pies while the remainder are cakes

To find the quantity of pies, we multiply the total baked goods by 3/5

The quantity of pies is ----> (3/5)x

To find the number of cakes, we subtract the pies from total baked goods

The number of cakes is -----> x-(3/5)x=(2/5)x

2) 1/3 of the pies consist of coconut

To calculate the number of coconut pies, multiply the pies by 1/3

The number of coconut pies is -----> (3/5)x(1/3)=(3/15)x=(1/5)x

3) 1/6 of the cakes are angel food

To calculate the number of angel food cakes, multiply the cakes by 1/6

The number of angel food cakes is -----> (2/5)x(1/6)=(2/30)x=(1/15)x

Part a) What fraction of all of Laurita’s Bakery baked goods are coconut pies?

It is known that

The amount of coconut pies is (1/5)x (refer to Part 2)

To determine the fraction, divide the coconut pies by the total baked goods

consequently

The fraction of all baked goods at Laurita’s Bakery that are coconut pies is 1/5

Part b) What fraction of all of Laurita’s Bakery baked goods are angel food cakes?

It is known that

The total number of angel food cakes is (1/15)x (refer to Part 3)

To find the fraction, divide the number of angel food cakes by the total baked goods

therefore

The fraction of all baked goods at Laurita’s Bakery that are angel food cakes is 1/15