Question The newspaper has $\frac{40}{0.08}$ readers.

Studdy Solution

STEP 1

Assumptions
1. The number of letters to the editor is 40.
2. This number represents 8% of all of the newspaper's readers.

STEP 2

We need to find the total number of readers. To do this, we can set up the equation where 40 is 8% of the total number of readers.
$40 = 8\% \times \text{Total number of readers}$

STEP 3

Convert the percentage to a decimal to make the calculation easier.
$8\% = \frac{8}{100} = 0.08$

STEP 4

Now, rewrite the equation using the decimal value for the percentage.
$40 = 0.08 \times \text{Total number of readers}$

STEP 5

To find the total number of readers, we need to divide the number of letters to the editor by the percentage (in decimal form).
$\text{Total number of readers} = \frac{40}{0.08}$

STEP 6

Perform the division to calculate the total number of readers.
$\text{Total number of readers} = \frac{40}{0.08} = 500$
The newspaper has 500 readers.

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