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Gerald and Jim work at a functions store...

Gerald and Jim work at a functions store. Gerald is paid $185 per week plus 4% of this total sales. Jim is paid $275 per week plus 2.5% of his total sales. What amount of sales will make their weekly pay the same?

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The correct Answer is:
To solve the problem, we need to find the amount of sales (let's denote it as \( X \)) that will make Gerald's and Jim's weekly pay equal. ### Step-by-Step Solution: 1. **Define the weekly pay for Gerald and Jim**: - Gerald's pay: \( 185 + 0.04X \) - Jim's pay: \( 275 + 0.025X \) 2. **Set the two pay equations equal to each other**: \[ 185 + 0.04X = 275 + 0.025X \] 3. **Rearrange the equation to isolate terms involving \( X \)**: - Subtract \( 0.025X \) from both sides: \[ 185 + 0.04X - 0.025X = 275 \] - This simplifies to: \[ 185 + 0.015X = 275 \] 4. **Subtract 185 from both sides**: \[ 0.015X = 275 - 185 \] - Calculate \( 275 - 185 \): \[ 0.015X = 90 \] 5. **Solve for \( X \)**: - Divide both sides by \( 0.015 \): \[ X = \frac{90}{0.015} \] - Calculate \( \frac{90}{0.015} \): \[ X = 6000 \] ### Final Answer: The amount of sales that will make their weekly pay the same is **$6000**. ---
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