A clerk is paid 45.25 per hour for 40 hours a week.  1.50 times the regular rate for overtime and double the rate for a holiday.  How much does the clerk get if he works overtime for 5 hours and2 hours on holiday

To calculate the clerk's total pay, we can break down the problem into three components: regular pay, overtime pay, and holiday pay.

### 1. **Regular Pay (40 hours)**:
The clerk is paid $45.25 per hour for 40 hours a week.

\[
\text{Regular Pay} = 45.25 \times 40 = 1810
\]

### 2. **Overtime Pay (5 hours)**:
Overtime is paid at 1.5 times the regular rate. The regular rate is $45.25, so the overtime rate is:

\[
\text{Overtime Rate} = 45.25 \times 1.5 = 67.875
\]

For 5 hours of overtime:

\[
\text{Overtime Pay} = 67.875 \times 5 = 339.375
\]

### 3. **Holiday Pay (2 hours)**:
Holiday hours are paid at double the regular rate. The regular rate is $45.25, so the holiday rate is:

\[
\text{Holiday Rate} = 45.25 \times 2 = 90.5
\]

For 2 hours of holiday work:

\[
\text{Holiday Pay} = 90.5 \times 2 = 181
\]

### 4. **Total Pay**:
Now, we sum all three components to get the total pay:

\[
\text{Total Pay} = 1810 + 339.375 + 181 = 2330.375
\]

So, the clerk's total pay is **$2330.38** (rounded to two decimal places).

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### Related questions:
1. How much would the clerk earn for 10 hours of overtime?
2. What would the pay be if the clerk worked 4 hours on a holiday?
3. How would the total change if the hourly rate increased by 5%?
4. How much does the clerk make per week if no overtime or holiday hours are worked?
5. What is the total pay if the clerk worked 10 hours on a holiday and no overtime?

### Tip: 
When calculating different rates (e.g., overtime, holiday), always remember to multiply by the correct factor, such as 1.5 for overtime or 2 for holiday rates.

A clerk is paid 45.25 per hour for 40 hours a week. 1.50 times the regular rate for overtime and double the rate for a holiday. How much does the clerk get if he works overtime for 5 hours and 2 hours on holiday?

Learn how to calculate the total pay for a clerk who earns $45.25 per hour for 40 hours, with 1.5 times the regular rate for overtime and double the rate for holidays. This solution covers rate calculation and basic algebra. Suitable for students in Grades 9-10.

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