The number of discount tickets was sold is 139.
The linear equation of two variables is the equation where the highest degree of two variables is 1.
Here given that the organizer receives 2884 by selling tickets.
The number of tickets sold is 430
The full price of one ticket is 8.
The discount price of ticket is 4.
Let the number of full price ticket sold is x and the number of discount ticket sold is y.
Then the total price will be = (the price of full price ticket* number of tickets) + (number of discount ticket sold*discount price of one ticket)
= 8x+4y
From the above it is clear that 8x+4y=2884 ------equation 1
total number tickets are = x+y
⇒ x+y =430 -------equation 2
multiplying 8 in equation 2 will be
8x+8y=3440
then subtracting equation 1 from the above equation
8x+8y -(8x+4y)=3440-2884
⇒4y=556
⇒y=556/4
⇒y=139
Therefore the number of discount tickets sold is 139.
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