IGNOU MTE 4 2026 - Give a real life situation problem, which is mathematically translated

Question

Give a real life situation problem, which is mathematically translated into

$2x + y + 2z = 18, x + 3y + 3z = 24, 3y = 6$ .

Also, explain how this linear system models your problem.

09 Jan 2026

Answer :

Word Count : 368

A small community kitchen is planning meals using three ingredients: rice, lentils, and vegetables. Let x represent the kilograms of rice used, y the kilograms of lentils, and z the kilograms of vegetables prepared for the day. The kitchen has three conditions based on nutrition planning and supply limits. First, the total “meal value” from rice, lentils, and vegetables must add up to 18 units, where rice contributes 2 units per kilogram, lentils 1 unit per kilogram, and vegetables 2 units per kilogram. Second, a protein-focused requirement states that rice, lentils, and vegetables together must contribute 24 protein units, where rice contributes 1 unit per kilogram, lentils 3 units per

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