Sure, let's solve this step-by-step:
1. Understand the problem:
Simone has 5 employees, and each employee works [tex]\( \frac{64}{15} \)[/tex] hours per day. We need to find the total number of hours worked by all 5 employees in a day.
2. Calculate the hours per employee:
Each employee works [tex]\( \frac{64}{15} \)[/tex] hours per day.
3. Total hours worked by all employees:
Since there are 5 employees, the total number of hours worked by all 5 employees can be calculated by multiplying the number of hours each employee works by the number of employees:
[tex]\[
\text{Total hours} = 5 \times \frac{64}{15}
\][/tex]
4. Multiplying the numbers:
[tex]\[
5 \times \frac{64}{15} = \frac{5 \times 64}{15} = \frac{320}{15}
\][/tex]
5. Divide the numerator by the denominator:
[tex]\[
\frac{320}{15} \approx 21.333
\][/tex]
So, the 5 employees together work approximately [tex]\( 21.333 \)[/tex] hours per day.
6. Match the calculated value with the given options:
Given the choices:
A. [tex]\( 31 \frac{1}{3} \)[/tex]
B. [tex]\( \frac{30^2}{3} \)[/tex]
C. 30
D. 28
None of the given options matches the calculated value of approximately 21.333 directly.
Therefore, the most precise answer is that the 5 employees work about 21.333 hours per day in total, but this isn't captured by any of the provided answer choices.
