Q70. - Algebra 1

Question

ATTENDANCE an amusement park recorded attendance of $825,000$ one year. The next year, the attendance increased to $975,000$. Determine the percent of increase in attendance.

Step-by-Step Solution

Answer

The percent of the increase in the attendance is $18.18\%$.

Step 1. Given information.

Recorded attendance in one year is $=825000$

Recorded attendance in next year is $=975000$

Step 2. To find the increase attendance in next year.

The attendance changes in the next year is:

 Attendance in next year - Attendance in one year

So, $975000-825000=150000$

Therefore, the increase attendance in next year is width="55" style="max-width: none; vertical-align: -4px;" $150000$.

Step 3. To find the percent of increase attendance in next year.

 Suppose the percent of the increase attendance is $a\%$.

So,

$\begin{array}{l}\frac{150000}{875000}=\frac{a}{100}\\ \Rightarrow a=\frac{150000}{875000}\times 100\\ \Rightarrow a=\frac{15000}{875}\\ \Rightarrow a=18.18\%\end{array}$

Hence, the percent of the increase in the attendance is $18.18\%$.