6. Andy has \( \$ 360 \). The amount of money that Andy has is \( 120 \% \) of the amount of monoy Ben has. Determine the amount of money that Ben has. \( 120=100=1.2 \) \( =1.2 \times 360=482 \) \( =432 \)

Let's solve the problem step by step to determine how much money Ben has. **Problem Statement:** - **Andy has:** \$360 - **Andy's amount is:** 120% of Ben's amount - **Find:** The amount of money Ben has **Step 1: Understand the Relationship** The problem states that Andy's money (\$360) is 120% of Ben's money. Mathematically, this can be expressed as: \[ \text{Andy’s Amount} = 120\% \times \text{Ben’s Amount} \] **Step 2: Convert Percentage to Decimal** Percentages can be converted to decimals by dividing by 100. Thus, \[ 120\% = \frac{120}{100} = 1.2 \] **Step 3: Set Up the Equation** Let’s denote Ben's amount of money as \( B \). \[ 360 = 1.2 \times B \] **Step 4: Solve for Ben's Amount (\( B \))** To find \( B \), divide both sides of the equation by 1.2: \[ B = \frac{360}{1.2} \] \[ B = 300 \] **Answer:** Ben has **\$300**. **Explanation of Your Calculations:** It seems there was a small error in your calculation process. Here's a breakdown: 1. You correctly converted 120% to decimal as 1.2. 2. However, the equation should be set up as \( 1.2 \times B = 360 \), not \( 1.2 \times 360 \). 3. Solving \( 1.2 \times B = 360 \) gives \( B = 360 / 1.2 = 300 \), not 432 or 482. **Final Answer:** Ben has **\$300**.