Question

A theatre has a capacity to seat people across two levels, the Circles 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 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 two significant figures
you must show all your workings out

Answer 1

Step-by-step explanation:

Given:

Capacity of Circle : Stall = 2 : 5

Number of circle seats taken = 528 (which is all the circle seats)

Fraction of stall seats occupied = 2/5

To Find:

Percentage of occupancy

Solution:

Define x:

Ratio of circle seats to stall seats = 2 : 5

Circle seats = 2x

Stall seats = 5x

Solve x:

Find the number of stall seats:

Find the number of stall seats taken:

Find the total number of seats taken:

Find the percentage of occupancy

Answer 2

Answer:

Step-by-step explanation:

circle.     Stall

2.             5

528.          X

x= 5*528

        2

5* 264 = 1320

2/3 of 1320 is

2*1320 = 880

3

Occupancy= 880+528= 1408

total seats= 528+ 1320= 1848

percentage= Approx 65.952%

1408/1848 x 100

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