2 audio cassette and 3 video cassette cost for rupees 340 but 3 audio cassette and 2 video cassettes cost for rupees 260 find the price of an audio cassette and that of a video cassette
Answers
Answered by
10
3x + 2y = 260
2x+3y=340
So add and subtract both to get
X+y=120
x-y=-80
So y-x=80
So y is 100 x is 20
Y represents video and x represents audio
2x+3y=340
So add and subtract both to get
X+y=120
x-y=-80
So y-x=80
So y is 100 x is 20
Y represents video and x represents audio
Answered by
16
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.
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