Wilk is a high school math teacher whose salary is $33,660 for this school year, which has 180 days.
In Mr. Wilk's school district, substitute teachers are paid $85 per day. If Mr. Wilk takes a day off without pay and a substitute teacher is paid to teach his classes, how much less does the school district pay in salary by paying a substitute teacher instead of Mr. Wilk for that day?
A. $57
B. $85
C. $102
D. $114
E. $187

To determine how much less the school district pays by hiring a substitute teacher instead of Mr. Wilk, we first need to calculate Mr. Wilk's daily salary and then compare it to the substitute teacher's daily rate.

### Step 1: Calculate Mr. Wilk's daily salary.
Mr. Wilk's annual salary is $33,660 for 180 days of work.

\[
\text{Daily Salary of Mr. Wilk} = \frac{\text{Total Annual Salary}}{\text{Number of Days Worked}} = \frac{33,660}{180}
\]

\[
\text{Daily Salary of Mr. Wilk} = 187
\]

### Step 2: Compare Mr. Wilk's daily salary to the substitute teacher's pay.
The substitute teacher is paid $85 per day.

### Step 3: Calculate the difference.
Now, we subtract the substitute teacher's daily rate from Mr. Wilk's daily salary to find out how much less the school district pays:

\[
\text{Difference} = \text{Daily Salary of Mr. Wilk} - \text{Substitute Teacher's Daily Pay} = 187 - 85
\]

\[
\text{Difference} = 102
\]

Thus, the school district pays **$102** less by hiring a substitute teacher instead of Mr. Wilk for that day. The correct answer is:

**C. $102**

Would you like more details on this or have any other questions?

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Here are 5 related questions that might interest you:
1. If Mr. Wilk takes 5 days off in a year, how much total money does the school district save?
2. How much would Mr. Wilk earn in a school year if he took 10 unpaid days off?
3. What would Mr. Wilk’s daily salary be if his annual salary increased to $36,000?
4. How much would the substitute teacher earn if they worked 30 days in the year?
5. If the school district decided to increase substitute pay by 10%, what would the new daily rate be?

**Tip:** When solving word problems, breaking them down into smaller, more manageable steps helps to avoid mistakes.

Learn how to calculate the savings when a substitute teacher is paid instead of Mr. Wilk, whose daily salary is $187. Understand the comparison between daily rates and how it affects the school district's expenses. Suitable for high school level math problems.

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