Q. 23.8( 13 Votes )

7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio cassettes and 4 video cassettes cost Rs 1350. Find the cost of an audio cassette and a video cassette.

Answer :

Let the cost of an audio cassette be ‘a’ and a video cassette be ‘b’.


Given, 7 audio cassettes and 3 video cassettes cost Rs 1110.


7a + 3b = 1110 -------- (1)


Also, 5 audio cassettes and 4 video cassettes cost Rs 1350.


5a + 4b = 1350 -------- (2)


Multiplying eq1 by 4 and eq2 by 3 and subtracting eq2 from eq1.


28a + 12b – 15a – 12b = 4440 – 4050


13a = 390


a = Rs. 30


Substituting value of a in eq1


7 × 30 + 3b = 1110


3b = 900


b = Rs. 300


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pair of Linear Equations in Two Variables46 mins
Dealing With the Real Life Problems53 mins
Learn to Solve Real Life Problems Using Linear Equations in Two Variables36 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Quiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Emphasizing on Elimination Method48 mins
Consistent and Inconsistent Equations33 mins
Elimination (quicker than quickest)44 mins
Algebraic Methods to Solve Pair of Linear Equation44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses