Question

5 pencils and 7 pens together cost ₹50 whereas 7 pencils and 5 pens together cost ₹46. Find the cost of one pencil and that of one pen.

Answer 1

5 pencils and 7 pens together cost ₹50 whereas 7 pencils and 5 pens together cost ₹46. Find the cost of one pencil and that of one pen.
then one pen cost =₹3
one pencil cost= ₹5

Answer 2

Answer:

3 Rs. and 5 Rs. respectively.

Step-by-step explanation:

Let us assume that one pencil costs x Rs. and one pen costs y Rs.

Now, 50 Rs. is the cost of 5 pencils and 7 pens together.

Hence, 5x+7y=50 ......(1)

Again, 46 Rs. is the cost of 7 pencils and 5 pens together.

Hence, 7x+5y =46 ......(2)

Now, solving equatios (1) and (2), we get,

49y-25y =50×7-46×5=120

⇒24y =120

⇒ y=5 Rs.

Now, from equation (1), we get,

5x+7×5=50

⇒ x=3 Rs.

Therefore, the cost of one pencil is 3 Rs. and that of one pen is 5 Rs. (Answer)