Question

if the cost of 25 pencils and 30 pens together is rs. 425 and the cost of 15 pencils and 25
pens together of same kinds is rs 325. Find the cost of each pen nd pencil together

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Answer 1

Answer:

18 is the anwer

Step-by-step explanation:

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Answer 2

The cost of each pen and pencil together is Rs. (5+10) = Rs. 15.

Given:

The cost of 25 pencils and 30 pens together is rs. 425.

The cost of 15 pencils and 25 pens together of the same kinds is rs 325.

To Find:

We have to find the cost of each pen and pencil together.

Solution:

This is a problem for the equation of two variables.

Let us tackle the problem.

We can easily solve this problem as follows.

Let us assume that,

The cost of each pen is Rs. x and the cost of each pencil is Rs. y.

Therefore,

The cost of 25 pencils and 30 pens together is Rs. (30x+25y).

The cost of 15 pencils and 25 pens together is Rs. (25x+15y).

Therefore, according to the question,

30x+25y = 425..........equation (i)

25x+15y = 325...........equation (ii)

From (i), we can see that,

$30x = 425-25y$

⇒$x =\frac{25(17-y)}{30}$

⇒$x = \frac{5(17-y)}{6}$ ..............equation (iii)

Putting the value of x in equation (ii), we get,

$25*\frac{5(17-y)}{6} +15y =325$

⇒$\frac{2125-125y}{6} + 15y =325$

⇒$2125-125y+90y=1950$

⇒$35y=175$

⇒$y=5$

Putting the value of y in equation (iii), we get,

$x =\frac{5*(17-5)}{6}$

$x=10$

Hence, the cost of each pen and pencil together is Rs. (5+10) = Rs. 15.

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