MHB Jumbo Burrito Cost Comparison: A System of Equations in Two Variables?

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The discussion revolves around the cost comparison of jumbo and regular burritos based on purchases made by two families. The Larsen family spent $13.65 on 3 jumbo and 2 regular burritos, while the Russo family spent $20.23 on 5 jumbo and 2 regular burritos. This scenario can be modeled as a system of equations in two variables, allowing for the determination of the individual costs of each burrito type. The question posed is whether a jumbo burrito costs more than $3.00. The analysis confirms that this is indeed a valid system of equations.
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The Larsen family bought 3 jumbo burritos and 2 regular burritos for 13.65. The Russo family bought 5 jumbo burritos and 2 regular burritos for 20.23. Does a jumbo burrito cost more than 3.00?

Is this a system of equations in two variables?
 
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Yes, it is.
 
Wow! That's two in a roll. Good.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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