Question

7 audio cassettes and 3 video cassettes cost Rs 1395, while 5 audio
cassettes and 4 video cassettes cost Rs 1665. Find the cost of an audio
cassette and that of a video cassette.​

Answer 1

Answer:

cost of an audio cassette = Rs. 45

Cost of a video cassette = Rs. 360

Step-by-step explanation:

if 1 audio cassette = a and 1 video cassette = v,

(1) 7a + 3v = 1395

(2)5a + 4v = 1665

(2)×3 ;  15a + 12v = 4 995

(1) ×4; 28a + 12v = 5 580

(28a + 12v) - (15a + 12v) = 5 580 - 4 995

13a = 585

a = 45

Substitute for (2);

5a + 4v =1665

5×45 +4v = 1665

4v = 1 440

v= 360