The cost of 5 pens and 8 pencils is f 120, while the cost of 8 pens an

1.	The cost of 5 pens and 8 pencils is f 120, while the cost of 8 pens and 5 pencils is ₹ 153. Find the cost of 1 pen and that of 1 pencil.
Answer» Let the cost of one pen is ₹ x and cost of one pencil is ₹ y, then As per statement, 5x + 8y = 120 …(1) 8x + 5y = 153 …(2) Adding both the equations, we get 13x + 13y = 273 x + y = 21 …(3) On subtracting (1) from (2), 3x – 3y = 33 x – y = 11 …….(iv) Again, Adding (3) and (iv), 2x = 32 or x = 16 On subtracting, 2y = 10 or y = 5 Answer: Cost of 1 pen = ₹ 16 and cost of 1 pencil = ₹ 5

The cost of 5 pens and 8 pencils is f 120, while the cost of 8 pens and 5 pencils is ₹ 153. Find the cost of 1 pen and that of 1 pencil.

Answer»

Let the cost of one pen is ₹ x and cost of one pencil is ₹ y, then

As per statement,

5x + 8y = 120 …(1)

8x + 5y = 153 …(2)

Adding both the equations, we get

13x + 13y = 273

x + y = 21 …(3)

On subtracting (1) from (2),

3x – 3y = 33

x – y = 11 …….(iv)

Again,

Adding (3) and (iv),

2x = 32 or x = 16

On subtracting,

2y = 10 or y = 5

Answer:

Cost of 1 pen = ₹ 16

and cost of 1 pencil = ₹ 5