4 Steps to Math Problem Solving

Summary

This video tutorial demonstrates how to solve two math word problems: determining hourly wages and calculating the dimensions of a rectangular room. The first problem shows how to find Adam and Isabelle's hourly wages by dividing their total weekly earnings by hours worked, then comparing their rates. The second problem focuses on finding the length and width of a room using its perimeter and a relationship between its length and width. The video emphasizes the importance of planning, solving, and checking your work to ensure accuracy in problem-solving.

Takeaways

• 📊 Isabelle worked 20 hours last week and earned $145.80, while Adam worked 15 hours and earned $112.50.
• 🕒 The goal is to find out how much each person earns per hour by dividing their total earnings by the number of hours worked.
• 💸 Isabelle earns $7.29 per hour, and Adam earns $7.50 per hour.
• 📉 To determine how much more Adam earns per hour than Isabelle, subtract Isabelle's hourly wage from Adam's.
• 💵 Adam earns $0.21 more per hour than Isabelle.
• 📝 Always check your work by reviewing the problem and verifying the calculations.
• 📐 The second problem involves a rectangular room, where the length is one inch more than three times the width, and the perimeter is 26 inches.
• 🧮 The formula for perimeter is 2 times the length plus 2 times the width.
• 🔢 The width is represented as X, and the length is 3X + 1.
• 📏 After solving, the width is 3 inches and the length is 10 inches.
• ✅ The solution is verified by plugging the dimensions back into the perimeter formula to confirm the result is 26 inches.

Q & A

Question 1: How much did Isabelle and Adam earn in total last week?

Isabelle earned $145.80, and Adam earned $112.50 last week.

Question 2: What is the goal when comparing Isabelle’s and Adam’s earnings?

The goal is to determine how much each earns per hour and how much more Adam earns per hour compared to Isabelle.

Question 3: How can you calculate Isabelle’s and Adam’s hourly earnings?

To calculate their hourly earnings, divide the total amount earned by the number of hours worked. For Isabelle, divide $145.80 by 20 hours. For Adam, divide $112.50 by 15 hours.

Question 4: How much does Isabelle earn per hour?

Isabelle earns $7.29 per hour.

Question 5: How much does Adam earn per hour?

Adam earns $7.50 per hour.

Question 6: How much more does Adam earn per hour than Isabelle?

Adam earns $0.21 more per hour than Isabelle.

Question 7: What is the formula for calculating the perimeter of a rectangular room?

The formula for the perimeter is 2 times the length plus 2 times the width (P = 2L + 2W).

Question 8: How is the length of the room related to the width?

The length is one inch more than three times the width, or L = 3W + 1.

Question 9: How do you find the dimensions of the room given the perimeter?

You set up an equation using the perimeter formula, substitute the expressions for length and width, solve for the width, and then use that value to find the length.

Question 10: What are the final dimensions of the room?

The width is 3 inches, and the length is 10 inches.