The cost of 2 books and 5 pens is ₹200. Express it as a linear equation in two variables.
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2x+5y=200
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question- The total cost of 8 books and 5 pens is 420 rupees and the total cost of 5 books and 8 pens is 321 rupees. Find the cost of 1 book and 2 pens.
answer- Let cost of book be x & cost of pen be y
⇒8x+5y=420;⇒5x+8y=321
Adding = 13x+13y=741;x+y=57 ____ (1)
Subtracting = 3x−3y=99;x−y=33
substituting x=y+33 in equation (1) we get :
y+33+y=57⇒2y=24⇒y=12
so x=12+33=45
cost of 1 book & 2 pens = 45+2(12)= 45+24
=69Rs
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