Price of one grandstand ticket is $380 and price of one general admission ticket is $220.
Step-by-step explanation:
Let,
Price of one grandstand ticket = x
Price of one general admission ticket = y
According to given statement;
6x+2y=2720 Eqn 1
4x+4y=2400 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(6x+2y=2720)\\12x+4y=5440\ \ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](12x+4y)-(4x+4y)=5440-2400\\12x+4y-4x-4y=3040\\8x=3040[/tex]
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{3040}{8}\\x=380[/tex]
Putting x=380 in Eqn 2
[tex]4(380)+4y=2400\\1520+4y=2400\\4y=2400-1520\\4y=880[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{880}{4}\\y=220[/tex]
Price of one grandstand ticket is $380 and price of one general admission ticket is $220.
Keywords: linear equation, elimination method
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