Question

59pens and 47 pencils cost 631 ,while 47pens and 59 pencips cost 535.find cost of one pen and one pencil​

Answer 1

Let the cost of one pen = x

cost of one pencil = y

59x+47y = 631 ------------(1)

47x+59y = 535 -----------(2)

(1)+(2)

106x+106y = 1166

x+y = 1166/106 = 11

x+y = 11 --------(3)

(1)-(2)

12x-12y = 96

x-y = 96/12 = 8

x-y = 8 --------(4)

(3)+(4)

2x = 19

x = 19/2 = ₹9.5

y = 11-x = 11-9.5

y = ₹1.5

Therefore, the cost of a pen = ₹9.5

cost of a pencil = ₹1.5

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