Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
To determine how many tortes are left after the guests consumed a portion, we need to follow a step-by-step process:
1. Identify the Total Number of Tortes:
The chef initially prepared a total of 5 chocolate tortes.
2. Understand the Fraction of Tortes Consumed:
The guests consumed [tex]\( \frac{2 \times 5}{16} \)[/tex] tortes.
3. Simplify and Calculate the Fraction Consumed:
This fraction calculates to [tex]\( \frac{10}{16} \)[/tex], which simplifies further to [tex]\( \frac{5}{8} \)[/tex] tortes consumed.
4. Determine the Number of Tortes Left:
To find out how many tortes are left, subtract the fraction consumed from the total number of tortes:
[tex]\[ 5 - \left( \frac{5}{8} \right) \][/tex]
5. Convert the Whole Number to a Fraction:
To subtract the fractions properly, convert the whole number 5 into a fraction with the same denominator:
[tex]\[ 5 = \frac{40}{8} \][/tex]
6. Perform the Subtraction:
Now, subtract the consumed fraction from the total number converted into an equivalent fraction:
[tex]\[ \frac{40}{8} - \frac{5}{8} = \frac{35}{8} \][/tex]
7. Interpret the Result:
So, the number of tortes left is [tex]\( \frac{35}{8} \)[/tex].
Given the choices:
A. [tex]\( \frac{311}{16} \)[/tex]
B. [tex]\( \frac{3 \%}{16} \)[/tex]
C. [tex]\( \frac{29}{16} \)[/tex]
D. [tex]\( \frac{211}{16} \)[/tex]
The correct equivalent answer for [tex]\( \frac{35}{8} \)[/tex], when expressed with the same denominator used in the choices provided, is found by converting [tex]\( \frac{35}{8} \)[/tex] to have a denominator of 16:
[tex]\[ \frac{35}{8} = \frac{70}{16} \][/tex]
However, this matches none of the answers given exactly. Therefore, we must stick with the fraction we computed carefully: [tex]\( \frac{35}{8} \)[/tex].
To double-check, the fraction approximation [tex]\(4.375\)[/tex] confirms the straightforward interpretation that the fraction [tex]\( \frac{35}{8} \)[/tex] and decimals leave us with the answer fitting neither of the directly provided choices.
So, none of the provided answers [tex]\(A, B, C, \)[/tex] or [tex]\( D \)[/tex] explicitly match up when recalculated with basic arithmetic:
Therefore, from the fraction-consumed 2 [tex]\(5 / 16 \)[/tex]:
Initial preparation: 5 Tortes
Consumed equivalent approximates 0.625 or [tex]\(\frac{35}{8}\)[/tex].
Thus, our numerically calculated accurate output remains [tex]\(4.375\)[/tex]. Verifying step up suggests none matching set choices convert as derived - ideal resultant remains reapplicable as accurate leaving Computed Answer:
\(\boxed \frac{35}{8} exactly as accurate metric correct proper format applicable/none explicit reflect from choices provided respectively. Be flexible in seeing such specialized equivalences!
1. Identify the Total Number of Tortes:
The chef initially prepared a total of 5 chocolate tortes.
2. Understand the Fraction of Tortes Consumed:
The guests consumed [tex]\( \frac{2 \times 5}{16} \)[/tex] tortes.
3. Simplify and Calculate the Fraction Consumed:
This fraction calculates to [tex]\( \frac{10}{16} \)[/tex], which simplifies further to [tex]\( \frac{5}{8} \)[/tex] tortes consumed.
4. Determine the Number of Tortes Left:
To find out how many tortes are left, subtract the fraction consumed from the total number of tortes:
[tex]\[ 5 - \left( \frac{5}{8} \right) \][/tex]
5. Convert the Whole Number to a Fraction:
To subtract the fractions properly, convert the whole number 5 into a fraction with the same denominator:
[tex]\[ 5 = \frac{40}{8} \][/tex]
6. Perform the Subtraction:
Now, subtract the consumed fraction from the total number converted into an equivalent fraction:
[tex]\[ \frac{40}{8} - \frac{5}{8} = \frac{35}{8} \][/tex]
7. Interpret the Result:
So, the number of tortes left is [tex]\( \frac{35}{8} \)[/tex].
Given the choices:
A. [tex]\( \frac{311}{16} \)[/tex]
B. [tex]\( \frac{3 \%}{16} \)[/tex]
C. [tex]\( \frac{29}{16} \)[/tex]
D. [tex]\( \frac{211}{16} \)[/tex]
The correct equivalent answer for [tex]\( \frac{35}{8} \)[/tex], when expressed with the same denominator used in the choices provided, is found by converting [tex]\( \frac{35}{8} \)[/tex] to have a denominator of 16:
[tex]\[ \frac{35}{8} = \frac{70}{16} \][/tex]
However, this matches none of the answers given exactly. Therefore, we must stick with the fraction we computed carefully: [tex]\( \frac{35}{8} \)[/tex].
To double-check, the fraction approximation [tex]\(4.375\)[/tex] confirms the straightforward interpretation that the fraction [tex]\( \frac{35}{8} \)[/tex] and decimals leave us with the answer fitting neither of the directly provided choices.
So, none of the provided answers [tex]\(A, B, C, \)[/tex] or [tex]\( D \)[/tex] explicitly match up when recalculated with basic arithmetic:
Therefore, from the fraction-consumed 2 [tex]\(5 / 16 \)[/tex]:
Initial preparation: 5 Tortes
Consumed equivalent approximates 0.625 or [tex]\(\frac{35}{8}\)[/tex].
Thus, our numerically calculated accurate output remains [tex]\(4.375\)[/tex]. Verifying step up suggests none matching set choices convert as derived - ideal resultant remains reapplicable as accurate leaving Computed Answer:
\(\boxed \frac{35}{8} exactly as accurate metric correct proper format applicable/none explicit reflect from choices provided respectively. Be flexible in seeing such specialized equivalences!
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
