Question

If 6 pens and 7 pencils together cost Rs. 90, while 5 pens and 6 pencils cost Rs. 76, what will be the cost of
each pen?
O Rs. 8
636 66113
1136431161. 19
136431167 19
17364377679
1736431167 19
ORs. 12
O Rs. 10
5640779
SHTE
415813/16119​

Answer 1

Step-by-step explanation:

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Answer 2

Each pen costs Rs. 8 and each pencil costs Rs. 6.

Given:

6 pens and 7 pencils together cost Rs. 90.

5 pens and 6 pencils cost Rs. 76.

To Find:

The cost of each pen.

Solution:

Let us assume that the cost of each pen is Rs. x and the cost of each pencil is Rs. y.

We have been given that 6 pens and 7 pencils together cost Rs. 90.

⇒ 6x + 7y = 90.                  ..................................(I)

Also, 5 pens and 6 pencils cost Rs. 76.

⇒ 5x + 6y = 76.                  ..................................(II)

We have obtained two linear equations in two variables. We will solve for x and y using the methods of elimination and substitution.

Let us evaluate equation (I) × 5 - equation (II) × 6.

⇒ 5(6x + 7y) - 6(5x + 6y) = 5(90) - 6(76)

⇒ 30x+ 35y - 30x - 36y = 450 - 456

⇒ -y = -6

⇒ y = 6.

Substituting this value in (I), we have

6x+7(6) = 90

⇒ 6x = 90-42 = 48

⇒ x = 8.

Hence, each pen costs Rs. 8 and each pencil costs Rs. 6.

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