The price of 3 pencil and 4 pens is 26 rs and 6 pencil and 3 pens its 27 what is the price of each
Answers
Answer :
- Cost of 1 pen is Rs. 5
- Cost of 1 pencil is Rs. 2
Explanation :
Given :
- Cost of 3 pencils and 4 pens = Rs. 26.
- Cost of 6 pencil and 3 pens = Rs. 27.
To find :
- Orignal price of pen and pencil.
Solution :
Let the price of pen be x and price of pencil be y.
According to the question,
- Cost of 3 pencils (3x) and 4 pens (4y) is 26.i.e,
⠀⠀⠀⠀⠀⠀⠀⠀3x + 4y = 26 ⠀⠀⠀⠀⠀Eq.(i)
- Cost of 6 pencils (6x) and 3 pens (2y) is 26.i.e,
- ⠀⠀⠀⠀6x + 3y = 27 ⠀⠀⠀⠀⠀Eq.(ii)
From equation (i) , we get :
==> 3x + 4y = 26
==> 3x = 26 - 4y
==> x = (26 - 4y)/3
∴ x = (26 - 4y)/3
Now substituting the value of x in equation (ii) and by solving it , we get '
==> 6x + 2y = 27
==> 6[(26 - 4y)/3)] + 3y = 27
==> 2(26 - 4y) + 3y = 27
==> 52 - 8y + 3y = 27
==> 52 - 5y = 27
==> -5y = 27 - 52
==> -5y = -25
==> 5y = 25
==> y = 25/5
==> y = 5
∴ y = 5
Now by substituting the value of y in the equation of x , we get :
==> x = (26 - 4y)/3
==> x = (26 - 4 × 5)/3
==> x = (26 - 20)/3
==> x = 6/3
==> x = 2
∴ x = 2
Therefore,
- Cost of 1 pen , y = Rs. 5
- Cost of 1 pencil , x = Rs. 2
Step-by-step explanation:
Given :
- The price of 3 pencil and 4 pens is 26 rs and 6 pencil and 3 pens its 27
To Find :
- what is the price of each
Solution :
According to the Question :
- The price of 3 pencil and 4 pens is 26 rs and 6 pencil and 3 pens its 27
3 pencils + 4 pens = 26
6 pencils + 3 pens = 27
Let the price of pen be y and that of pencil be x
now,
(3x + 4y = 26) × 3 .......1.
(6x + 3y = 27) × 4 ........2.
Subtracting 1 from 2
24x + 12y = 108
- 9x + 12y = 78
15x = 30
x = 30/15
x = 2
substituting this value in eq1.
3(2) + 4 y = 26
26 - 6 = 4y
20 = 4y
y = 20/4
= 5
Hence, price of pencil = 2 Rs
price of pen = 5Rs