Question

August hosted two dinner parties for his friends. Twenty-five guests attended the first party, and twenty-eight guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?

Answer 1

To find the percentage increase in the number of guests from the first party to the second party, we can use the following formula for percentage increase:

\[
\text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100
\]

In this case:
- The Old Value (guests at the first party) = 25
- The New Value (guests at the second party) = 28

Now, plugging these values into the formula:

\[
\text{Percentage Increase} = \left( \frac{28 - 25}{25} \right) \times 100
\]

Calculating the difference:

\[
28 - 25 = 3
\]

Now, substituting back into the equation:

\[
\text{Percentage Increase} = \left( \frac{3}{25} \right) \times 100
\]

Calculating the fraction:

\[
\frac{3}{25} = 0.12
\]

Now, multiply by 100 to find the percentage:

\[
0.12 \times 100 = 12
\]

Thus, the percentage increase of the number of guests from the first party to the second party is:

\[
\boxed{12}
\]