Two pens and one eraser cost Rs. 35 and 3 pencil and four erasers cost Rs. 65. Find the cost of pencil and eraser separately. Choose the correct choice from the following:  A) 5,15  B) 15,5  C) 5,10  D) 10,5  E) 20,5
Let pen be x and eraser be y   Then 2x + y = 35 ……………(i)   And 3x + 4y = 65 ……………(ii)   Multiplying equation (i) by 4, and subtracting we get   5x = 75   x = 15   Substituting the value of x = 15 in equation (i) 2x + y = 35 we get;   2 × 15 + y = 35   30 + y = 35   y = 35 – 30   y = 5   Therefore, the cost of 1 pen is Rs. 15 and the cost of 1 eraser is Rs. 5. correct ans is 15,5
<result>B</result>
Two pens and one eraser cost Rs. 35 and 3 pencil and four erasers cost Rs. 65. Find the cost of pencil and eraser separately.