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.

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Solution

Given:

(i) 7 Audio cassettes and 3 Video cassettes cost is 1110.

(ii) 5 Audio cassettes and 4 Video cassettes cost Rs. 1350.

To Find: Cost of 1 audio cassette and 1 video cassettes.

Let (i) the cost of 1 audio cassette = Rs. x.

(ii) the cost of 1 video cassette = Rs. y.

According to the given conditions, we have

Thus, we get the following system of linear equation,

By using cross multiplication, we have

Hence cost of 1 audio cassette =

Hence cost of 1 video cassette =

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