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A chef prepared five chocolate tortes for a dinner party. The guests consumed [tex]\( \frac{25}{16} \)[/tex] tortes. How many tortes are left?

A. [tex]\( 2 \frac{9}{16} \)[/tex]
B. [tex]\( \frac{31}{16} \)[/tex]
C. [tex]\( \frac{21}{16} \)[/tex]
D. [tex]\( \frac{3}{16} \)[/tex]



Answer :

GinnyAnswer
Let's solve the problem step by step:

1. Determine the initial number of tortes prepared:
The chef prepared 5 tortes.

2. Calculate the number of tortes consumed in fractional form:
The guests consumed [tex]\(\frac{25}{16}\)[/tex] tortes.

3. Calculate the number of tortes left:
Subtract the number of tortes consumed from the initial number of tortes prepared.
[tex]\[ \text{Tortes left} = 5 - \frac{25}{16} \][/tex]

4. Convert 5 to a fraction with the same denominator (16):
[tex]\[ 5 = \frac{80}{16} \][/tex]

5. Perform the subtraction:
[tex]\[ \text{Tortes left} = \frac{80}{16} - \frac{25}{16} = \frac{55}{16} \][/tex]

6. Express [tex]\( \frac{55}{16} \)[/tex] as a mixed number:
[tex]\[ \frac{55}{16} = 3 \frac{7}{16} \][/tex]

So, the number of tortes left is [tex]\(3 \frac{7}{16}\)[/tex].

Now, let's identify the correct answer from the given choices:

A. [tex]\(2 \frac{9}{16}\)[/tex]

B. [tex]\(\frac{311}{16}\)[/tex]

C. [tex]\(\frac{211}{16}\)[/tex]

D. [tex]\(3 \frac{7}{16}\)[/tex]

The correct choice is:

D. [tex]\(3 \frac{7}{16}\)[/tex]

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