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.
Answers
Given : 7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio cassettes and 4 video cassettes cost Rs 1350.
Solution:
Let the cost of a audio cassette be Rs. X and that of a video cassette be Rs. y. Then,
7x + 3y = 1110 ……..…(1)
5x + 4y = 1350 ……..…(2)
On Multiplying equation(1) by 4 and equation (2) by 3, we obtain :
28x + 12y = 4440 ……...…(3)
15x + 12y = 4050 ….…...…(4)
On Subtracting equation(4) from equation(3), we obtain :
28x + 12y = 4440
15x +12y = 4050
(-) (-) (-)
-----------------
13x = 390
x = 390/13
x = 30
On Substituting x = 30 in equation (1), we get
7x + 3y = 1110
7 × 30 + 3y = 1110
210 + 3y = 1110
3y = 1110 - 210
3y = 900
y = 900/3
y = 300
Hence, cost of one audio cassette is Rs. 30 and cost of one video cassette is Rs. 300
Hope this answer will help you…
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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.