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

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