Write And equation you could use to solve each problem
Solve each problem by systematic trial or inspection
A) Camille Bought 9 teen magazines for $63. She pain the same amount for each magazine. How much did each magazine cost?
B) Nicolas collects fishing lures. He lost 27 of his lures on a fishing trip. Nicolas has 61 lures left. How many did he have to begin with?

Let's write the equations and solve each problem by systematic trial or inspection.

**A) Cost of each magazine:**

1. **Equation:**
   \[
   9x = 63
   \]
   Where $ x $ is the cost of each magazine.

2. **Solving by systematic trial or inspection:**

   We need to find $ x $ such that when multiplied by 9 gives 63.

   - Start with $ x = 5 $:
     \[
     9 \times 5 = 45 \quad (\text{too low})
     \]
   - Try $ x = 7 $:
     \[
     9 \times 7 = 63 \quad (\text{correct})
     \]

   So, each magazine cost $7.

**B) Initial number of fishing lures:**

1. **Equation:**
   \[
   y - 27 = 61
   \]
   Where $ y $ is the initial number of lures Nicolas had.

2. **Solving by systematic trial or inspection:**

   We need to find $ y $ such that when 27 is subtracted from it, the result is 61.

   - Start with $ y = 80 $:
     \[
     80 - 27 = 53 \quad (\text{too low})
     \]
   - Try $ y = 88 $:
     \[
     88 - 27 = 61 \quad (\text{correct})
     \]

   So, Nicolas originally had 88 lures.

Do you want details or have any questions?

Here are 5 numbered questions for you to ask:
1. How do you solve quadratic equations by factoring?
2. Can you explain the Pythagorean Theorem with an example?
3. How do you find the derivative of a function using the power rule?
4. What is the process to solve a system of linear equations using the substitution method?
5. How do you calculate the area under a curve using integration?

**Tip:** When solving equations by trial or inspection, start with reasonable estimates and adjust based on whether your result is too high or too low. This helps you quickly narrow down to the correct solution.

Learn how to solve math problems involving the cost of magazines and determining initial numbers using systematic trial or inspection. Step-by-step solutions provided for both problems. Suitable for students in Grades 3-5.

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