Question

800 people collectively paid rupees 67500 for watching a films show occupying the the balcony and the rear stall seats is the charge for balcony seat and real stall worth rupees hundred and rupees 75 respectively how many more audience occupied the rear stall seats​

Answer 1

Step-by-step explanation:

let the no . of people occupying balcony seat = X

let the no . of people occupying real stall seat = Y

therfore

100X + 75Y = 67500

also X + Y = 800 since there are 800 people totally

4X + 3Y = 2700

X + Y = 800

by solving the above equation we get

X = 300 and y = 600

therefore no. of people occupying real stall seats= y =600

Answer 2

Answer:

300 people occupied Balcony and 500 people occupied Real stall.

Step-by-step explanation:

Given,

• Total number of people = 800
• Total amount collected = 67500 rupees
• X be the number of people in Balcony
• Y be the number of people in real stall
• The price of balcony seat = Rs 100
• The price of real stall = Rs 75

To find :

• The number of people in balcony seat and in real stall.

Solution:

X + Y = 800      .................................(1)

100 X + 75 Y = 67500  .................(2)

100 × equation(1) gives:

100 X + 100 Y = 80000  ..............(3)

Solve equation (3) and (2) : (3) - (2)

And find the value of X and Y

100X + 100 Y = 80000

100 X + 75 Y = 67500

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            25 Y   = 12500

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                  Y = 500  ....................(4)

Substitute the value of Y in equation (1) and find the value of X

X + 500 = 800

X = 300     ......................................(5)

Therefore 300 people occupied Balcony and 500 people occupied Real stall.

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