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In this video tutorial, the instructor guides viewers on how to set up systems of linear equations based on a word problem about coffee beans. Lauren uses a blend of dark roast and light roast beans, needing a total of 80 kilograms for her next order. Dark roast beans cost $3 per kilogram, light roast beans cost $2 per kilogram, and the total budget is $220. By representing the kilograms of dark roast beans as D and light roast beans as L, viewers are encouraged to pause and set up two equations with two unknowns (D and L) to solve for the optimal blend.
