Question

at a school carnival, 34 out of 85 tickets sold were early - admission tickets. what percentage of the tickets were early - admission tickets? write your answer using a percent sign (%).

Explanation:

Step1: Calculate the percentage

The formula for percentage is $\frac{\text{part}}{\text{whole}}\times100\%$. Here, the part is the number of early - admission tickets ($34$) and the whole is the total number of tickets ($85$).
So, we have $\frac{34}{85}\times100\%$.

Step2: Simplify the fraction

First, simplify $\frac{34}{85}$. Since $34 = 2\times17$ and $85=5\times17$, then $\frac{34}{85}=\frac{2}{5}$.
Now, $\frac{2}{5}\times100\%=(2\times20)\%$.

Answer:

$40\%$