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Exemplo 3.2 de Elementary Algebra, 3.1 Use a Problem-Solving Strategy
Problema e solução em inglês, como no livro original.
Ginny and her classmates formed a study group. The number of girls in the study group was three more than twice the number of boys. There were 11 girls in the study group. How many boys were in the study group?
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
| Step 1. Read the problem. | |
| Step 2. Identify what we are looking for. | How many boys were in the study group? |
| Step 3. Name. Choose a variable to represent the number of boys. | Let the number of boys. |
| Step 4. Translate. Restate the problem in one sentence with all the important information. | |
| Translate into an equation. | |
| Step 5. Solve the equation. | |
| Subtract 3 from each side. | |
| Simplify. | |
| Divide each side by 2. | |
| Simplify. | |
| Step 6. Check. First, is our answer reasonable? Yes, having 4 boys in a study group seems OK. The problem says the number of girls was 3 more than twice the number of boys. If there are four boys, does that make eleven girls? Twice 4 boys is 8. Three more than 8 is 11. | |
| Step 7. Answer the question. | There were 4 boys in the study group. |
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
Guillermo bought textbooks and notebooks at the bookstore. The number of textbooks was 3 more than twice the number of notebooks. He bought 7 textbooks. How many notebooks did he buy?
Como foi?