On Monday, 350 people bought tickets to the county fair. Tickets cost $7 for
adults and $3 for children. The total revenue from ticket sales on Monday was
$2050. The system of equations below represents the number of people and
total sales for the county fair on Monday, where x represents the number of
child tickets and y represents the number of adult tickets.
*+ y = 350
3x+7y = 2050
How many adult tickets were sold on Monday?

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The adult tickets that were sold on Monday are 250.

How many adult tickets were sold on Monday?

Let, x represents the number of child tickets.

y represents the number of adult tickets.

x + y = 350 ....... (1)

3x + 7y = 2050 ....... (2)

Simplifying the above (1), we get

[tex](1) *$3 \Rightarrow[/tex] 3x + 3 y = 1050...........(3)

( 3 ) - ( 1 )

(3x + 3 y = 1050) - (3x + 7y = 2050)

4y = 1000

y = 1000/4

y = 250.

Therefore, 250 adult tickets were sold on Monday.

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