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

Question

A.
40%
B.
70%
C.
60%
D.
30%

Answer 1

To find the percentage increase from the first party to the second party, we can use the following formula:

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

In this case, the "Old Value" is the number of guests at the first party (20), and the "New Value" is the number of guests at the second party (34).

Now, let's calculate it step by step:

1. Calculate the difference in the number of guests: \[ 34 - 20 = 14 \]

2. Now, divide the difference by the number of guests at the first party: \[ \frac{14}{20} = 0.7 \]

3. Finally, multiply by 100 to get the percentage: \[ 0.7 \times 100 = 70% \]

The percentage increase of the number of guests from the first party to the second party is 70%.

Thus, the answer is B. 70%.