5 pens and 6 pencils cost Rs 90 and 3 pens and 2 pencils cost Rs 50 Find the price of each item.
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let the cost of pen be x and cost of pencil be y
5x + 6y = 90 _______ (1)
3x + 2y = 50 _______ (2)
Multiply 3 with (2)
i.e 9x + 6y = 150 ________ (3)
(3) - (1) => 4x + 0 = 60
4x = 60
x = 60/4 = 15
x = 15 in (1) => 5×15 + 6y = 90 , 75 + 6y = 90 ,
6y = 90-75 = 15 , y = 15/6 = 2.5 Rupees
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