To determine how many cases of asparagus the produce manager will need to order, follow these steps:
1. Determine the Total Bundles Needed:
The produce manager needs to order a total of 76 bundles of asparagus.
2. Identify the Number of Bundles per Case:
Each case provided by the supplier contains 12 bundles of asparagus.
3. Calculate the Number of Cases Needed:
Divide the total number of bundles needed by the number of bundles per case:
[tex]\[
\text{Number of Cases Needed} = \frac{76 \text{ bundles}}{12 \text{ bundles per case}} \approx 6.3333
\][/tex]
4. Separate the Integer and Fractional Parts:
The division results in approximately 6.3333, which consists of an integer part and a fractional part:
- Integer part: 6
- Fractional part: 0.3333
5. Convert the Fractional Part to a Fraction:
The fractional part of 0.3333 can be expressed as a fraction. Recognize that:
[tex]\[
0.3333 \approx \frac{1}{3}
\][/tex]
6. Identify the Closest Fractional Answer:
We need to find the closest fraction that matches the approximate calculation. The possible options given are:
- [tex]\(6\frac{2}{3}\)[/tex] = 6.6667
- [tex]\(6\frac{5}{6}\)[/tex] = 6.8333
- [tex]\(6\frac{1}{3}\)[/tex] = 6.3333
The closest matches from the given options to our approximate result of 6.3333 are:
[tex]\[
\text{Option D: } 6 \frac{1}{3}
\][/tex]
Thus, the produce manager will need to order approximately [tex]\(6 \frac{1}{3}\)[/tex] cases of asparagus.
The correct answer is:
D. [tex]\(6 \frac{1}{3}\)[/tex]
