A shopkeeper sells two types of stationery items—notebooks and pencils
MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
A shopkeeper sells two types of stationery items—notebooks and pencils. The information below is noted from two different customers:
• Customer A buys 5 notebooks and 3 pencils for ₹115.
• Customer B buys 2 notebooks and 4 pencils for ₹74.
(i) Taking the price of one notebook as ₹x and the price of one pencil as ₹y, write the pair of linear equations represented by the above situation.
(ii) Solve the simultaneous equations obtained in part (i) to determine the individual prices of a notebook and a pencil.
(iii) Using your solution, compute the total amount Customer C would pay for 3 notebooks and 5 pencils.