Math, asked by mdiqbal2231, 2 months ago

5 pencils and 7 pens together costs rupees 50,whereas 7 pencils and 5 pens together costs rupees 46. find the cost of one pencil and one pen.

Answers

Answered by MiraculousBabe

Answer:

Solution:

Let cost (in RS) of one pencil = x

and cost (in RS) of one pen = y

Therefore , according to question

5x+7y = 50 ---------(1)

7x + 5y = 46 ------(2)

Multiply equation 1 by 7 and equation by 5 we get

7(5x+7y)= 7×50

35x +49y = 350 -------(3)

and

5(7x +5y) = 5×46

35x +25y = 230 ----- (4)

Subtract equation 4 from equation 3 , we get

35x + 49y - 35x - 25y = 350 -230

49y -25y = 120

24y = 120

y = 120 /24

y= 5

Substitute y=5 in equation 1 , we get

5x + 7×5 =50

5x+35 =50

5x = 50 - 35

5x =15

x= 15/5

x=3

Hence Cost of One Pencil = x = 3

Cost of One Pencil = x = 3

Cost of One Pen =y = 5

Answered by Ash34567

Answer:

Let cost (in RS) of one pencil = x

and cost (in RS) of one pen = y

Therefore , according to question

5x+7y = 50 ---------(1)

7x + 5y = 46 ------(2)

Multiply equation 1 by 7 and equation by 5 we get

7(5x+7y)= 7×50

35x +49y = 350 -------(3)

and

5(7x +5y) = 5×46

35x +25y = 230 ----- (4)