Question

5 pen and 6 pencils together cost Rs. 9 and 3 pens and 2 pencils cost Rs. 5. Find the cost of 1 pen and 1 pencil. ​

Answer 1

Answer:

Step-by-step explanation:

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Let cost of one pen = x

   cost of one pencil = y

5 pens and 6 pencils cost Rs. 9

⇒ 5x + 6y = 9  ....................(1)

⇒ 5x = 9 - 6y

⇒ x = (9-6y)/5

3 pens and 2 pencils cost Rs 5

⇒3x + 2y = 5

⇒3() + 2y = 5

⇒

⇒

⇒

⇒ 

x =

Cost of one pen = Rs. 1.5

Cost of one Pencil = Rs. 0.25

So cost of one pen and one pencil = 1.5+0.25 = Rs 1.75

Answer 2

Answer:

Step-by-step explanation:Let the cost of pencils be x and the and of pens be y

Therefore, 5y+6x=9....1)

3y+2x=5....2)

Multiplying equation 2 by 3

9y+6x=15...3)

Subtracting 1) and 3)

9y+6x=15

-(5y+6x=9)

=4y=6

y=6/4

=3/2=1.5

Therefore cost of one pen is 1.5 rupees

Cost of one pencil

=5(1.5)+6x=9

=7.5+6x=9

6x=9-7.5

6x=1.5

x=1.5/6=0.25

Therefore cost of one pencil is 0.25 rupees