the price of 4 notebook and 7 pens is 115 rupees and the price of 4 notebooks and 2 pens is 90 ruppes what is the price of a notebook and what is the price of apen
Answers
Step-by-step explanation:
Given total cost of 5 pens and 10 pencil = Rs 30
5 pens + 10 pencils = 30
pens + 2 pencils = 1
also given pen cost 3 more than a pencil
i.e, pen = 3 + pencil.
pen - pencil = 3
pens + 2 pencils = 6
_______________
-3 pencils = -3
pencils = 1
pen - 1 = 3
pen = 4
cost of pencils = 1 cost of pen = 4
Given - Price of 4 notebook and 7 pens is 115 rupees
Price of 4 notebooks and 2 pens is 90 rupees
Find - Price of a notebook and a pen
Solution - Let x represent notebook and y represent pen.
As per the first statement,
4x + 7y = 115 : equation 1
As per the second statement,
4x + 2y = 90 : equation 2
Substracting equatiom 2 from 1.
4x + 7y = 115
- 4x + 2y = 90
We get, 5y = 25
y = 25/5
y = 5
So, price of a pen is Rs. 5
To find price of a notebook, keeping the value of pen in equation 1.
4x + 7*5 = 115
4x = 115 - 35
4x = 80
x = 20
So, Price of a notebook is Rs. 20
Hence, price of a notebook and a pen is Rs. 20 and Rs. 5 respectively.