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Example: Solving a Word Problem for a Car's Sticker Price
To see the seven-step problem-solving strategy in action, consider the following word problem: Randell paid $28,675 for his new car. This was $875 less than the sticker price. What was the sticker price of the car?
- Read: Understand that the problem asks for the original sticker price based on the price paid and the discount amount.
- Identify: We are looking for the sticker price of the car.
- Name: Let represent the sticker price of the car.
- Translate: Restate the problem: $28,675 is $875 less than the sticker price. As an equation: }28,675 = s - 875{.
- Solve: Add 875 to both sides to isolate the variable :
- Check: Is $875 less than $29,550 equal to $28,675? Yes (}29,550 - 875 = 28,675{).
- Answer: The sticker price of the car was $29,550.
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