the price of 3 pens and 4 pencils is rupees75 rupees. for 4 pens and7 pencil is 83rupees what is the price of each?
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let us take price of pen as x.
take price of pencil as y.
so acc. to qs,
3x + 4y = 75---(1)
4x + 7y = 83---(2)
from eq (1),
x = 75-4y/3
substitute this value in eq (2)
4(75-4y/3) + 7y = 83
300-16y/3 + 7y
300-16y/3 + 21y/3 = 83 (using LCM)
300+5y/3 = 83
300+5y = 249
-51 = -5y
y = 51/5
= Rs 10.2
x= 75-4y/3
= 75-40.8/3
= 34.2/3
= Rs 11.4
∴ Cost of pen is Rs 11.4, Cost of pencil is Rs 10.2
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