The author of a book on running receives a royalty of 75¢ per copy sold. If the royalty rate is 12% of the single copy price, how much money per copy does not go to the author?
0.12x = 0.75
x = $6.25
6.25 - 0.75 = ?
My, this is an old problem. Imagine buying a book for six bucks!
To find out how much money per copy does not go to the author, we need to determine the royalty rate as a fraction of the single copy price.
Let's suppose the single copy price of the book is P dollars.
According to the problem, the royalty rate is 12% of the single copy price. We can express this as
12% = 12/100 = 0.12
So, the author receives a royalty of 0.12P dollars per copy sold.
But we know that the author receives a royalty of 75¢ per copy sold.
Now let's compare these two amounts:
0.12P = 75¢
Since we want to find out how much money per copy does not go to the author, we subtract the author's royalty from the single copy price:
P - 0.12P = 75¢
Simplifying the equation:
0.88P = 75¢
To find out how much money per copy does not go to the author, we subtract the author's royalty from the single copy price:
P - 0.12P = 75¢
Simplifying the equation:
0.88P = 75¢
Now we can solve for P:
P = (75¢) / 0.88
To convert cents to dollars, we divide by 100:
P = (0.75 dollars) / 0.88
Dividing the numerator by the denominator:
P ≈ 0.85 dollars
Therefore, the single copy price of the book is approximately $0.85.
To find out how much money per copy does not go to the author, we subtract the author's royalty from the single copy price:
0.85 dollars - 0.75 dollars
This equals:
0.10 dollars
Therefore, $0.10 per copy does not go to the author.