Question

An hour before show​ time, only 266 people are seated for a movie. . According to ticket​ sales, 93​% of the people have yet to arrive. How many tickets were sold for the movie

Answer 1

3800 tickets

Explanation:

we are given that,

total people seated:266

yet to come:93%

so the percentage of people who have arrived is 100%-93%=7%

and one ticket for each people

therefore,

`\displaystyle \begin{array}{ccc} \displaystyle \rm7\% \quad \text{People} \implies266 \: \text{tickets} \\ \displaystyle100 \%\: \quad \imath \imath \implies (266)/(7\%) \: \: \: \: \imath \imath \\ \\ \qquad \displaystyle \qquad\rm as \: \% = (1)/(100) \longleftarrow (266)/( (7)/(100) ) \\ \\ \displaystyle \rm \: by \: simplifying \: complex \: fraction\longleftarrow 266 * (100)/(7) \\ \rm reduce \: fraction \longleftarrow 38 * 100 \\ \rm simplify \:multiplication \longleftarrow3800\end{array}`

hence,

3800 tickets were sold for the movie

Answer 2

Solutions given:

[100%-97%]=266people

7% =266people

Each people is 1 ticket.

266 people =266tickets

so

7% of people=266ticket

100% of people =266/7×100=3800tickets

3800tickets were sold for the movie