The books are $5, and the magazines are $10. I’m not sure which way you want it explained but since magazines are twice the price of books, you can solve the equation 3b + 2b = 25. This gives you b=5 which you just multiply by 2 giving you the price of a magazine.
Answer: The required cost of the magazine is $10.
Step-by-step explanation: Given that Ryan bought 3 books and a magazine. He paid $30 and relieved $5 change and the magazine cost twice as much as each book.
We are to find the cost of the magazine.
Let x and y represents the cost of a book and the magazine respectively.
Then, according to the given information, we have
[tex]3x+y=30-5\\\\\Rightarrow 3x+y=25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
and
[tex]y=2x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (ii) in equation (i), we get
[tex]3x+2x=25\\\\\Rightarrow 5x=25\\\\\Rightarrow x=\dfrac{25}{5}\\\\\Rightarrow x=5[/tex]
and from equation (ii), we get
[tex]y=2\times5=10.[/tex]
Thus, the required cost of the magazine is $10.
