MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
A bag contains only ₹5 coins and ₹2 coins. The total value of the coins in the bag is ₹100. Let x be the number of ₹5 coins and y be the number of ₹2 coins.
(i) Write the linear equation that relates x and y.
(ii) Draw the graph of this equation on a suitably chosen Cartesian plane.
(iii) On your graph mark the half-plane that represents all possible collections of coins whose value does not exceed ₹100.
(iv) Using the graph, decide whether the collection represented by the point (12,20) is possible. Give reason.
(v) Find one more integral ordered pair different from (12,20) that represents a possible collection of coins having exactly ₹100 and justify your choice with reference to the graph.