We appreciate your visit to At Laurita s Bakery tex frac 3 5 tex of the baked goods are pies and the rest are cakes tex frac 1 3 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let's go through the problem step by step to find the fractions of all the baked goods that are coconut pies and angel-food cakes.
### a. What fraction of all of the baked goods at Laurita's Bakery are coconut pies?
1. Determine the fraction of baked goods that are pies:
At Laurita's Bakery, [tex]\(\frac{3}{5}\)[/tex] of the baked goods are pies.
2. Find the fraction of pies that are coconut pies:
We're told that [tex]\(\frac{1}{3}\)[/tex] of the pies are coconut.
3. Calculate the fraction of all baked goods that are coconut pies:
To find what fraction of all the baked goods are coconut pies, multiply the fraction of pies by the fraction of those pies that are coconut:
[tex]\[
\text{Fraction of coconut pies} = \frac{3}{5} \times \frac{1}{3} = \frac{3 \times 1}{5 \times 3} = \frac{1}{5}
\][/tex]
So, [tex]\(\frac{1}{5}\)[/tex] of all the baked goods are coconut pies, which is 0.2 in decimal form.
### b. What fraction of all of the baked goods at Laurita's Bakery are angel-food cakes?
1. Determine the fraction of baked goods that are cakes:
Since [tex]\(\frac{3}{5}\)[/tex] of the baked goods are pies, the rest are cakes. This is calculated by subtracting the fraction of pies from the whole:
[tex]\[
\text{Fraction of cakes} = 1 - \frac{3}{5} = \frac{2}{5}
\][/tex]
2. Find the fraction of cakes that are angel-food:
We're told that [tex]\(\frac{1}{6}\)[/tex] of the cakes are angel-food.
3. Calculate the fraction of all baked goods that are angel-food cakes:
To find what fraction of all the baked goods are angel-food cakes, multiply the fraction of cakes by the fraction of those cakes that are angel-food:
[tex]\[
\text{Fraction of angel-food cakes} = \frac{2}{5} \times \frac{1}{6} = \frac{2 \times 1}{5 \times 6} = \frac{2}{30} = \frac{1}{15}
\][/tex]
So, [tex]\(\frac{1}{15}\)[/tex] of all the baked goods are angel-food cakes, which is approximately 0.0667 in decimal form.
Therefore, [tex]\(\frac{1}{5}\)[/tex] of all the baked goods are coconut pies and [tex]\(\frac{1}{15}\)[/tex] are angel-food cakes.
### a. What fraction of all of the baked goods at Laurita's Bakery are coconut pies?
1. Determine the fraction of baked goods that are pies:
At Laurita's Bakery, [tex]\(\frac{3}{5}\)[/tex] of the baked goods are pies.
2. Find the fraction of pies that are coconut pies:
We're told that [tex]\(\frac{1}{3}\)[/tex] of the pies are coconut.
3. Calculate the fraction of all baked goods that are coconut pies:
To find what fraction of all the baked goods are coconut pies, multiply the fraction of pies by the fraction of those pies that are coconut:
[tex]\[
\text{Fraction of coconut pies} = \frac{3}{5} \times \frac{1}{3} = \frac{3 \times 1}{5 \times 3} = \frac{1}{5}
\][/tex]
So, [tex]\(\frac{1}{5}\)[/tex] of all the baked goods are coconut pies, which is 0.2 in decimal form.
### b. What fraction of all of the baked goods at Laurita's Bakery are angel-food cakes?
1. Determine the fraction of baked goods that are cakes:
Since [tex]\(\frac{3}{5}\)[/tex] of the baked goods are pies, the rest are cakes. This is calculated by subtracting the fraction of pies from the whole:
[tex]\[
\text{Fraction of cakes} = 1 - \frac{3}{5} = \frac{2}{5}
\][/tex]
2. Find the fraction of cakes that are angel-food:
We're told that [tex]\(\frac{1}{6}\)[/tex] of the cakes are angel-food.
3. Calculate the fraction of all baked goods that are angel-food cakes:
To find what fraction of all the baked goods are angel-food cakes, multiply the fraction of cakes by the fraction of those cakes that are angel-food:
[tex]\[
\text{Fraction of angel-food cakes} = \frac{2}{5} \times \frac{1}{6} = \frac{2 \times 1}{5 \times 6} = \frac{2}{30} = \frac{1}{15}
\][/tex]
So, [tex]\(\frac{1}{15}\)[/tex] of all the baked goods are angel-food cakes, which is approximately 0.0667 in decimal form.
Therefore, [tex]\(\frac{1}{5}\)[/tex] of all the baked goods are coconut pies and [tex]\(\frac{1}{15}\)[/tex] are angel-food cakes.
Thanks for taking the time to read At Laurita s Bakery tex frac 3 5 tex of the baked goods are pies and the rest are cakes tex frac 1 3 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
