a book sold 32,600 copies in its first month of release. suppose this represents 8.1%of the number of copies sold to date.how many copies sold to date?

Answer 1

First, 8.1 % can be written in decimal form as 0.081 (8.1 /100 = 0.081).

Let's use the variable x to represent the number of copies sold to date.

Then we can write and solve the following equation to represent 8.1% of the total sold to date:

0.081 • x = 32600

You can solve this equation by dividing both sides of the equation by 0.081:

0.081 • x = 32600

0.081 0.081

x = 402469

To date, 402469 copies would have been sold.

Answer 2

Hi Daniel!

Here you are solving for proportions. We know that 32600 is 8.1% of the entire amount sold (also known as 100%). The amount we do not know is how many they have sold overall; let's put that as Z.

So for the fraction of things that we do know we'll have:

32600

8.1

And for the Z that we do not know, but the 100% that we do know we'll have:

Z

100

So we'll now set these equations equal to one another:

32600 = Z

8.1 100

Now solve for Z, we must isolate Z by itself by doing the following:

32600(100) = Z(8.1)

Z = ((32600(100))/8.1

Then solve for Z.

Hope this helps!

Best,

Andrea