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Exemplo 9.6 de Prealgebra, 9.1 Use a Problem Solving Strategy
Use a Problem Solving Strategy: exemplo 9.6
Problema e solução em inglês, como no livro original.
One number is five more than another. The sum of the numbers is twenty-one. Find the numbers.
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
Solução
Step 1. Read the problem. Step 2. Identify what you are looking for. You are looking for two numbers. Step 3. Name.
Choose a variable to represent the first number.
What do you know about the second number?
Translate.
Let
One number is five more than another.Step 4. Translate.
Restate the problem as one sentence with all the important information.
Translate into an equation.
Substitute the variable expressions.
The sum of the numbers is 21.
The sum of the 1st number and the 2nd number is 21.Step 5. Solve the equation. Combine like terms. Subtract five from both sides and simplify. Divide by two and simplify. Find the second number too. Substitute n = 8 Step 6. Check: Do these numbers check in the problem?
Is one number 5 more than the other?
Is thirteen, 5 more than 8? Yes.
Is the sum of the two numbers 21?Step 7. Answer the question. The numbers are 8 and 13.
Sua vez
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
One number is six more than another. The sum of the numbers is twenty-four. Find the numbers.
Como foi?