Question

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 1

Answer:

Step-by-step explanation:

Solution :-

Let the cost of audio cassette be x.

And the cost of video cassette be y.

According to the Question.

⇒ 7x + 3y = 1110 ... (i)

⇒ 5x  +4y = 1350 ...(ii)

Multiplying Eq (i) with 4 and (ii) with 3, we get

⇒ 28x + 12y  = 4440 .... (iii)

⇒ 15x + 12y = 9990 .... (iv)

Solving the Eq (iii) and (iv), we get

⇒ 13x = 390

⇒ x = 390/13

⇒ x = 30

Putting x's value in Eq (i), we get ;

⇒ 7x + 3y = 1110

⇒ y = 300

Hence, the cost of an audio cassette and a video cassette are 30 and 300.