3 A supermarket worker on an hourly rate of $$ \$ 13.50 $$ got a pay increase of $$ 8 \% $$. Calculate the new hourly rate. 4 The owners of a paper-mill with 580 employees decide to reduce employee numbers by $$ 15 \% $$. a How many employees will lose their jobs? b How many employees will the paper-mill now have?

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### **Problem 3**

**A supermarket worker on an hourly rate of \$13.50 received an 8% pay increase. Calculate the new hourly rate.**

**Solution:**

1. **Calculate the increase amount:**
   $$
   \text{Increase} = 8\% \times \$13.50 = 0.08 \times \$13.50 = \$1.08
   $$

2. **Add the increase to the original rate to find the new hourly rate:**
   $$
   \text{New Hourly Rate} = \$13.50 + \$1.08 = \$14.58
   $$

**Answer:**  
The new hourly rate is **\$14.58**.

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### **Problem 4**

**The owners of a paper mill with 580 employees decide to reduce employee numbers by 15%.**

#### **a) How many employees will lose their jobs?**

**Solution:**

1. **Calculate the number of employees being reduced:**
   $$
   \text{Employees Losing Jobs} = 15\% \times 580 = 0.15 \times 580 = 87
   $$

**Answer:**  
**87 employees** will lose their jobs.

#### **b) How many employees will the paper mill now have?**

**Solution:**

1. **Subtract the number of employees losing their jobs from the original number:**
   $$
   \text{Remaining Employees} = 580 - 87 = 493
   $$

**Answer:**  
The paper mill will now have **493 employees**.

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**Problem 3:** The new hourly rate is **\$14.58**. **Problem 4:** a) **87 employees** will lose their jobs. b) The paper mill will now have **493 employees**.

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