7 audio cassette and 3 video cassette cost rs 1110 while 5 audio cassettes and 4 video cassette cost rs 1350 find the cost of audio cassette and video cassette
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Answered by
130
Let,
x = audio cassette
y = video cassette
according to the given data,
( a ). 7x + 3y = 1110
( b ). 5x + 4y = 1350
multiply (a) by 4 and (b) by 3 which gives you the following,
( c ). 28x + 12y = 4440
( d ). 15x + 12y = 4050
now subtract (d) from (c),
13x = 390
x = 390/13
x = 30 rs
substitute the value of x in (a),
7(30) + 3y = 1110
210 + 3y = 1110
3y = 1110 - 210
y = 900/3
y = 300 rs
cost of audio cassette = 30 rs
cost of video cassette = 300 rs
x = audio cassette
y = video cassette
according to the given data,
( a ). 7x + 3y = 1110
( b ). 5x + 4y = 1350
multiply (a) by 4 and (b) by 3 which gives you the following,
( c ). 28x + 12y = 4440
( d ). 15x + 12y = 4050
now subtract (d) from (c),
13x = 390
x = 390/13
x = 30 rs
substitute the value of x in (a),
7(30) + 3y = 1110
210 + 3y = 1110
3y = 1110 - 210
y = 900/3
y = 300 rs
cost of audio cassette = 30 rs
cost of video cassette = 300 rs
Answered by
1
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