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3. Ben had a part-time job at the Fun Station. Suppose he worked 13.5 hours one week and made [tex]$\$[/tex]81$. How much did Ben earn per hour?

Step 1: Write an equation you can use to solve the problem. Be sure to define the variable.

Equation: [tex] \$81 = 13.5x [/tex]

Variable: [tex] x [/tex] represents the hourly wage.

Sagot :

GinnyAnsweridn
Sure, let's go through the detailed step-by-step solution to figure out how much Ben earned per hour.

### Step 1: Define the Equation

To find out how much Ben earns per hour, we need to use the equation that relates his total earnings to the hours worked and his hourly wage.

Let's define the variable:
- Let [tex]\( x \)[/tex] be the hourly wage that Ben earns.

According to the problem, Ben worked for 13.5 hours and earned [tex]$81 in total. The equation relating these quantities will be: \[ 81 = 13.5x \] ### Step 2: Solve for \( x \) We need to isolate \( x \) on one side of the equation to determine Ben's hourly wage. We can do this by dividing both sides of the equation by 13.5. \[ x = \frac{81}{13.5} \] ### Step 3: Compute the Quotient When we divide 81 by 13.5, we get: \[ x = 6 \] So, Ben earns $[/tex]6 per hour.

### Summary

- The equation used was [tex]\( 81 = 13.5x \)[/tex].
- Solving for [tex]\( x \)[/tex] gives us [tex]\( x = \frac{81}{13.5} = 6 \)[/tex].

Therefore, Ben's hourly wage is $6 per hour.
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