Question

Valley playhouse receives 2884 by selling 430 tickets to the opening night of the musical. if the full price of a ticket is 8 and discount tickets are 4 how many discount tickets were sold

Answer 1

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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