Hat and Scarf problem - 2 variables
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Lesson Summary:
In this lesson, students learn how to use two variables and two linear equations to solve a word problem. The problem involves determining the cost of a hat and a scarf based on the given information about how much two people spent on these items at a store. By defining the variables and using the addition method, the cost of a hat is found to be $13 and the cost of a scarf is found to be $17. The lesson concludes with a demonstration of how to check the answers to ensure that they make sense.
Lesson Description:
Shows how to solve a word problem using 2 variables and 2 linear equations.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you write and solve a system of 2 equations to solve a word problem with two variables in Algebra?
- How do you check to make sure that your solution to a word problem is correct?
- If Ben buys 2 hats and 5 scarves in a store for $111, and Jose buys 4 hats and 3 scarves in the same store for $103, what is the cost of a hat and the cost of a scarf?
- How do you solve the system of equations 2h + 5x = 111 and 4h + 3x = 103?
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Staff Review
This is a really good real-world example problem of writing and solving a system of two equations. All steps involved with writing and solving the equations is explained. The final solution is also checked back into the original word problem. This is a great tutorial for solving complicated word problems.
