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. What fraction of all of the baked goods at Laurita's Bakery are coconut?
What fraction of all the baked goods at Laurita's bakery are angel food cakes?
3/5times 1/3=1/5
To find the fraction of all the baked goods at Laurita's Bakery that are coconut, we need to calculate the fraction of the pies that are coconut.
Given:
- 3/5 of the baked goods are pies.
- 1/3 of the pies are coconut.
Step 1: Multiply the fractions to find the fraction of pies that are coconut.
(3/5) * (1/3) = (3/15) = 1/5
Therefore, 1/5 of all the baked goods at Laurita's Bakery are coconut.
To find the fraction of all the baked goods that are angel food cakes:
Given:
- The rest (2/5) of the baked goods are cakes.
- 1/6 of the cakes are angel food.
Step 1: Multiply the fractions to find the fraction of the cakes that are angel food.
(2/5) * (1/6) = (2/30) = 1/15
Therefore, 1/15 of all the baked goods at Laurita's Bakery are angel food cakes.
To find the fraction of baked goods that are coconut at Laurita's Bakery, we need to find the fraction of pies that are coconut and then multiply that by the fraction of all baked goods that are pies.
Step 1: Find the fraction of pies that are coconut.
Given that 1/3 of the pies are coconut, we can use this information to find the fraction of pies that are coconut by dividing 1 by 3: 1/3.
Step 2: Find the fraction of all baked goods that are pies.
Given that 3/5 of the baked goods are pies, we can use this information to find the fraction of all baked goods that are pies: 3/5.
Step 3: Multiply the fraction of pies that are coconut by the fraction of all baked goods that are pies.
Multiply 1/3 (fraction of pies that are coconut) by 3/5 (fraction of all baked goods that are pies) to get the fraction of all baked goods that are coconut: (1/3) * (3/5) = 1/5.
Therefore, 1/5 of all the baked goods at Laurita's Bakery are coconut pies.
To find the fraction of baked goods that are angel food cakes, we need to find the fraction of cakes that are angel food cakes and then multiply that by the fraction of all baked goods that are cakes.
Step 1: Find the fraction of cakes that are angel food cakes.
Given that 1/6 of the cakes are angel food, we can use this information to find the fraction of cakes that are angel food by dividing 1 by 6: 1/6.
Step 2: Find the fraction of all baked goods that are cakes.
Given that 2/5 (1 - 3/5) of the baked goods are cakes (since the rest are pies), we can use this information to find the fraction of all baked goods that are cakes: 2/5.
Step 3: Multiply the fraction of cakes that are angel food cakes by the fraction of all baked goods that are cakes.
Multiply 1/6 (fraction of cakes that are angel food) by 2/5 (fraction of all baked goods that are cakes) to get the fraction of all baked goods that are angel food cakes: (1/6) * (2/5) = 1/15.
Therefore, 1/15 of all the baked goods at Laurita's Bakery are angel food cakes.
coconut: (3/5)(1/3) = 1/5
angel: (2/5)(1/6) = 1/15
assuming no cakes are coconut ...
If all the cakes are either coconut or angel food, then
coconut: (3/5)(1/3) + (2/5)(5/6) = 8/15