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Exercise 3.19 The cost of a ticket to a football match is Birr 50.00 for children and Birr 75.00 for adults. On a certain day, attendance at the football match is 25,000 and the total gate revenue is Birr 1,375,000. How many children and adults bought tickets?​

Respuesta :

Adithya027

Answer:

20,000 adults and 5,000 children bought tickets

Step-by-step explanation:

Let x be the number of adults who attended the match

Let y be the number of children who attended the match

Then, x+y=25000--------------------(1)

And, 75x+50y=1375000

        25(3x+2y)=1375000

        3x+2y=1375000/25

        3x+2y=55000-----------------(2)

(1)×2-(2)

2x+2y=50000

2x+3y=55000 (-)

-----------------------

-y=-5000

y=5000

Substitute y in (1)

5000+x=25000

x=25000-5000

x=20000

∴20,000 adults and 5,000 children bought tickets

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