Which expression represents the number of hours in w weeks and d days?

Options

A. `7w+12d`
B. `84w+24d`
C. `168w+24d`
D. `168w+60d`

Answer

To find the expression that represents the number of hours in \( w \) weeks and \( d \) days, we can break the problem down into two parts: the hours in weeks and the hours in days.

### Step-by-Step Solution:

1. **Calculate the number of hours in \( d \) days:**
- We know that there are 24 hours in a day.
- Therefore, in \( d \) days, the total number of hours is:
\[ \text{Hours in } d \text{ days} = 24 \times d = 24d \]

2. **Calculate the number of hours in \( w \) weeks:**
- We know that there are 7 days in a week.
- Therefore, in one week, the number of hours is:
\[ \text{Hours in 1 week} = 24 \times 7 = 168 \]
- Thus, in \( w \) weeks, the total number of hours is:
\[ \text{Hours in } w \text{ weeks} = 168 \times w \]

3. **Combine the hours from both parts:**
- To find the total number of hours in \( w \) weeks and \( d \) days, we add the hours calculated in the previous steps:
\[ \text{Total hours} = \text{Hours in } d \text{ days} + \text{Hours in } w \text{ weeks} \]
\[ \text{Total hours} = 24d + 168w \]

Thus, the expression that represents the number of hours in \( w \) weeks and \( d \) days is:
\[ \boxed{168w + 24d} \]