A fruit seller sells apples for ₹30 each and bananas for ₹10 each

MATHEMATICS · Subjective · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

A fruit seller sells apples for ₹30 each and bananas for ₹10 each. A customer has exactly ₹150 to spend. (i) Write the linear equation in x (number of apples) and y (number of bananas) that represents this situation. (ii) Plot the graph of this equation on the Cartesian plane, taking suitable scales. (iii) Using the graph, determine whether buying 3 apples and 9 bananas is possible.

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