Question

A theatre has the capacity to seat people accross two levels, the circle and the stalls.

the ratio of the number of seats in the circle to the number of seats in the stalls is 2:5
Last friday the audience occupied all the 528 seats in the circle and 2/3 of the seats in the stalls.
work out the percentage of occupancy of the theatre last friday.
give your answer to 2 significant figures.
show working out.


Please help me with this question, finding it very hard,
thanks.

Answer 1

Explanation:

Alright so, we need need to lay down the clues we were given

●Ratio of the seats= 2:5

● No.of seats in the circle

●Fraction of seats occupied for the stalls

Now, let us take a closer look at the ratio;

C: S Total

2:5 7

As we can see, the number of parts for the circle is 2 parts.

So ,

2 parts = 528 seats

1 part= 528/2= 264 seats

5 parts= 1 320 seats

7 parts= 264 × 7 = 1 848

Finally,

We can now find the seats occupied by the stalls,

2/3 × 1 320

= 880 seats

Seats of circle + Seats of stall

= 528 + 880= 1408

Percentage Occupancy

=

1408/1 848 × 100

Note: The answer will come in decimal numbers.

It will be,

76.1904761905

or

76.19%

ANSWER