if the cost of 3 audio and 2 second hand video cassettes is R.S 350 and that of 2 audio and 3 second hand video cassettes is R.S 425 , then what is the price of a second hand video cassette ?
Please explain in two variables.
Including method.
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let the cost of audio be x
and the cost of second hand video be y
from the condition,
3x+2y=350 1
from 2nd condition,.
2x+3y=425 2
multiplying equation 1 by 3 and 2 by 2
9x+6y=1050 3
4x+6y=850 4
subtracting equation 3 & 4
9x+6y=1050
4x+6y=850
5x=200
x = 40
putting value of x in equation 1
3 x 40 + 2y=350
2y=350 - 120
2y=230
y= 230/2
y=115
the cost of one audio is 40 and for video is 115
and the cost of second hand video be y
from the condition,
3x+2y=350 1
from 2nd condition,.
2x+3y=425 2
multiplying equation 1 by 3 and 2 by 2
9x+6y=1050 3
4x+6y=850 4
subtracting equation 3 & 4
9x+6y=1050
4x+6y=850
5x=200
x = 40
putting value of x in equation 1
3 x 40 + 2y=350
2y=350 - 120
2y=230
y= 230/2
y=115
the cost of one audio is 40 and for video is 115
DevangSaini:
but why did you multiply equation 1 with 3 and equation 2 with 2??
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