Question

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4500 seats. The students left 3105 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answer 1

Given :-

$\bull$Total number of seats in theatre = 4500

$\bull$Total number of seats left vacant = 3105

Solution:-

$\longrightarrow$Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant

$\longrightarrow$Number of seats occupied

$\quad$= 4500 - 3105

$\longrightarrow$ 1395

Now,

$\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered}$

$\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered}$

$\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered}$

$\longrightarrow$Thus , 31 % of seats in the theater were filled by the 6th graders on the trip