the cost of two pencils and 3 rubbers is 9 ruppes and cost of 2pencil and 6 rubbers is 12 ruppes . find the cost of each pencil and rubber
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Step-by-step explanation:
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Step-by-step explanation:
Let,
No. of pencils be x.
No.of rubbers be y.
Cost of 2 pencils and 3 rubbers is ₹9.
So, 2x + 3y = 9--------(1)
Cost of 2 pencils and 6 rubbers is ₹12.
So, 2x + 6y = 12------(2)
By adding (1) and (2):
2x + 3y = 9
2x + 6y = 12
------------------
0x + (-3y) = -3.
y = -3/-3
y = 1.
Substitute y = 1 in equation (1):
2x + 3y = 9
2x + 3(1) = 9
2x = 9-3
2x = 6
x=6/2 = 3
x = 3.
No. of pencils = 3
No. Of rubbers = 1
Cost of one pencil = ₹2/-
Cost of one rubber = ₹3/-
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