59 pens and 47 pencils together cost rs 513 while 47 pens and 59 pencils together cost rs 441. Find the cost of the pens and that of the pencils
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Step-by-step explanation:
Let the cost of pen = x
Let the cost of pencil = y
By the condition
59x + 47y = 513 ----( 1 )
47x + 59y = 441 ----(2)
equation ( 1 ) + equation (2) = x + y = 6 ------(3)
equation ( 1 ) - equation (2) = -x + y = 9 ------(4)
equation (3) + equation (4)
x+y = 6
-x+y = 9
-----------------
2y = 15 x+y = 6
y = 15/2 x+7.5 = 6
= 7.5 x = 1.5
The cost of pen = 1.5
The cost of pencil = 7.5
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