A theatre has the capacity to seat two levels. The circle and the stalls. The ratio in the number of seats in the circle compared to the number of seats in the stalls is 2:5

[tex]A\ theatre\ has\ the\ capacity\ to\ seat\ two\ levels.[/tex] [tex]\ The\ circle\ and\ the\ stalls.\ The\ ratio\ in\ the\ number\ of\ seats\ in\ the\ circle\[/tex][tex]compared\ to\ the\ number\ of\ seats\ in\ the\ stalls\ is\ 2:5.[/tex][tex]\ Last\ Friday,\ the\ audience\ occupied\ all\ the\ 528\ seats\ in\ the\ circle[/tex][tex]\ and\ 2/3\ of\ the\ seats\ in\ the\ stalls.[/tex][tex]\ What\ is\ the\ percentage\ of\ occupancy\ of\ the\ theatre\ last\ Friday?[/tex]

Now, to get the percentage of occupancy of the theatre last Friday.

Let [tex]x[/tex] be all the seats in the stalls.

Total number of seats in the circle occupied by audience last friday = 528.

According to question, 2 : 5 is the ratio in the number of seats in the circle compared to the number of seats in the stalls.

So, 2 is equivalent to 5.

And, 528 is equivalent to [tex]x[/tex].

Now, to get the number of stalls by using cross multiplication method:

[tex]\frac{2}{5} =\frac{528}{x}[/tex]

By cross multiplying we get:

[tex]2x=2640[/tex]

Dividing both sides by 2 we get:

[tex]x=1320.[/tex]

Total number of seats in the stalls = 1320.

Now, to get the people occupied seats in the stalls on last friday:

[tex]\frac{2}{3} \ of\ 1320\\\\=\frac{2}{3} \times 1320\\\\=880.[/tex]

Thus, people occupied 880 seats in the stalls on last friday.

So, the total number of seats in the circle and stalls:

[tex]1320+528\\\\=1848.[/tex]

And, the total number of seats people occupied last friday:

[tex]528+880\\\\=1408.[/tex]

Now, to get the percentage of occupancy of the theatre last Friday:

[tex]\frac{1408}{1848} \times 100[/tex]

[tex]=\frac{140800}{1848} \\\\=76.19\%.[/tex]

Therefore, 76.19% the percentage of occupancy on last Friday.

israeldamtse45 israeldamtse45 · Answer 2 · 2020-07-28T18:11:30+02:00

Answer:

76.19%

Step-by-step explanation:

Thus, people occupied 880 seats in the stalls on last friday.

So, the total number of seats in the circle and stalls:

And, the total number of seats people occupied last friday:

528 +880=1408

Now, to get the percentage of occupancy of the theatre last Friday:

1408/1848 times 100=140800/1848

=76.19%

Therefore, 76.19% the percentage of occupancy on last Friday.