https://file.aiquickdraw.com/mathbot/file/1726278932831549bhtxv.jpg

To solve the problem, we need to determine the number of **normal hours** (denoted as $ X $) that Juanita worked based on the information provided.

### Information from the table:
- **Rate per hour (normal)** = \$45.00
- **Overtime hours** = 8 (with double the normal rate)
- **Total wage** = \$2520

#### Step-by-Step Approach:

1. **Wage from Overtime**: 
   Juanita worked 8 hours of overtime at double her regular rate. So, her overtime pay can be calculated as:
   \[
   \text{Overtime wage} = 8 \times 2 \times 45 = 8 \times 90 = 720
   \]

2. **Wage from Normal Hours**: 
   The remaining wage comes from the normal hours worked. Let's denote the normal hours by $ X $. The total wage for the normal hours worked would be:
   \[
   \text{Normal wage} = 45 \times X
   \]

3. **Total Wage**: 
   The sum of the normal wage and the overtime wage gives the total wage:
   \[
   45 \times X + 720 = 2520
   \]

4. **Solve for $ X $**:
   Subtract 720 from both sides:
   \[
   45 \times X = 2520 - 720
   \]
   \[
   45 \times X = 1800
   \]
   Now, divide both sides by 45:
   \[
   X = \frac{1800}{45} = 40
   \]

Thus, Juanita worked **40 normal hours**.

### Answer:
The correct option is **(B) 40**.

---

Would you like further details or have any questions?  
Here are some additional related questions:

1. What would her total wage be if she worked 10 hours of overtime instead of 8?
2. How would the calculation change if her overtime rate was 1.5 times instead of double?
3. What would be the normal hours if the total wage was \$3000 with the same overtime details?
4. If Juanita's rate per hour increased to \$50, how many normal hours would she need to work to earn the same total wage of \$2520?
5. How can you calculate overtime wages in situations where different rates apply for different time thresholds (e.g., 1.5x for the first 5 hours, then 2x)?

**Tip**: When solving wage problems, separate the normal and overtime components clearly and ensure you account for the multiplier in overtime pay correctly.

Using the information on the wage sheet, find the value of the normal hours (X). Employee Juanita Mikayla earns $45.00 per hour, worked 8 overtime hours at double pay, and received a total wage of $2520.

Learn how to calculate the normal hours worked by Juanita Mikayla based on her wage sheet, overtime hours, and total earnings. This algebra-based problem involves solving for normal hours using wage formulas and linear equations, suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation