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 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 cakes?

Answer:Part a) The fraction of all of the baked goods at Laurita’s Bakery that are coconut pies is 1/5Part b) The fraction of all of the baked goods at Laurita’s Bakery that are angel food cakes is 1/15Step-by-step explanation:Letx -----> the total number of baked goodswe know that1) 3/5 of the baked goods are pies and the rest are cakesTo obtain the number of pies multiply the total number of baked goods by 3/5The number of pies is ----> (3/5)xTo obtain the number of cakes subtract the number of pies from the total number of baked goods The number of cakes is -----> x-(3/5)x=(2/5)x2) 1/3 of the pies are coconutTo obtain the number of coconut pies multiply the number of pies by 1/3The number of coconut pies is -----> (3/5)x(1/3)=(3/15)x=(1/5)x3) 1/6 of the cakes are angel foodTo obtain the number of angel food cakes multiply the number of cakes by 1/6The number of angel food cakes is -----> (2/5)x(1/6)=(2/30)x=(1/15)xPart a) What fraction of all of the baked goods at Laurita’s Bakery are coconut pies?we know thatThe number of coconut pies is (1/5)x (see Part 2)Divide the number of coconut pies by  the total number of baked goods[tex]\frac{(1/5)x}{x}=\frac{1}{5}[/tex]thereforeThe fraction of all of the baked goods at Laurita’s Bakery that are coconut pies is 1/5Part b) What fraction of all of the baked goods at Laurita’s Bakery are angel food cakes?we know thatThe number of angel food cakes is (1/15)x (see Part 3) Divide the number of angel food cakes by  the total number of baked goods[tex]\frac{(1/15)x}{x}=\frac{1}{15}[/tex]thereforeThe fraction of all of the baked goods at Laurita’s Bakery that are angel food cakes is 1/15