Given:
You and your friend each purchase an equal number n of magazines.
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Total cost = $10.50
To find:
The equation to find number of magazines you purchased.
Solution:
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Number of magazines purchased by you and your friend = n
Total cost = ![1.50n+2n](https://tex.z-dn.net/?f=1.50n%2B2n)
It is given that total cost is $10.50.
![1.50n+2n=10.50](https://tex.z-dn.net/?f=1.50n%2B2n%3D10.50)
![3.50n=10.50](https://tex.z-dn.net/?f=3.50n%3D10.50)
Divide both sides by 3.50.
![n=\dfrac{10.50}{3.50}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B10.50%7D%7B3.50%7D)
![n=3](https://tex.z-dn.net/?f=n%3D3)
Therefore, required equation is
and the number of magazines purchased by you is 3.