Question

Raj bought 5 pens and 8 pencils, he paid Rs. 85 to the shopkeeper. Express this situation algebraically using Rs. x as the cost of one pencil and Rs. y as the cost of one pen.

Answer 1

Answer:

Let the cost of 1 pen be ₹ x and that of 1 pencil be ₹ y. Then, <br>

5x + 8y = 120 " "

… (i) and

8x + 5y = 153" "

… (ii) <br> Adding (i) and (ii) , we get

3(x - y ) = 273 rArr x + y = 21" "

... (iii) <br> Subtracting (i) from (ii), we get

3 ( x - y ) = 33 rArr x - y = 11" "

... (iv) <br> From (iii) and (iv), we get

x = 16 and y = 5