A stationery shop sells two kinds of notebooks: ruled and plain

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A stationery shop sells two kinds of notebooks: ruled and plain. Eight ruled notebooks and five plain notebooks together cost ₹ 155\text{₹}\,155. Five ruled notebooks and three plain notebooks together cost ₹ 95\text{₹}\,95. (i) Taking the cost of one ruled notebook as xx rupees and that of one plain notebook as yy rupees, form two linear equations in xx and yy that model the above information. (ii) Solve the equations obtained in part (i) to find the cost of each type of notebook. (iii) How much will the shop charge for 3 ruled and 4 plain notebooks bought together?

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