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Example: Solving a Word Problem about Books
Apply the seven-step problem-solving strategy to a word problem involving a comparative relationship between two unknown quantities.
Problem: Guillermo bought textbooks and notebooks at the bookstore. The number of textbooks was three more than twice the number of notebooks. He bought seven textbooks. How many notebooks did he buy?
Step 1. Read the problem. Step 2. Identify what you are looking for: How many notebooks did Guillermo buy? Step 3. Name what we are looking for: Let = the number of notebooks. Step 4. Translate: Restate the problem into an equation. The number of textbooks () was three more than twice the number of notebooks (), which translates to: . Step 5. Solve the equation: Subtract from both sides: Divide by : Step 6. Check: If he bought notebooks, is three more than twice that equal to ? Twice is , and . The total matches the textbooks. Step 7. Answer: Guillermo bought notebooks.
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Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Algebra
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Example: Solving a Word Problem about Books
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Learn After
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