At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of $41,705, which is 5% less than it sold for when it was new. What was the original price of the vehicle?$____
Q. At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of $41,705, which is 5% less than it sold for when it was new. What was the original price of the vehicle?$____
Set x as original price: Step 1: Let x be the original price of the car.Reasoning: The sale price is 5% less than the original price.Calculation: Sale price = x−0.05x=0.95xMath error check:
Equation with sale price: Step 2: Set up the equation using the given sale price.Reasoning: We know the sale price is $41,705.Calculation: 0.95x=41,705Math error check:
Solve for original price: Step 3: Solve for x, the original price.Reasoning: Divide both sides of the equation by 0.95 to isolate x.Calculation: x=0.9541,705Math error check:
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