MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
A stationery shopkeeper sells pens and pencils. On a particular day, the following details were noted:
• The cost of 6 pens and 9 pencils together is ₹132.
• The cost of 9 pens and 6 pencils together is ₹153.
Further, the shopkeeper states that a pen costs at least ₹5 more than a pencil.
Answer the following:
(i) Let ₹x be the cost of one pen and ₹y be the cost of one pencil. Write two linear equations using the first two statements.
(ii) Solve the equations obtained in part (i) to find x and y.
(iii) Verify whether the additional statement about the minimum difference in their prices is satisfied by your result.
(iv) State clearly, in a concluding sentence, the cost of one pen and one pencil.