There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 6 grandstand tickets and 2 general

Question

3 years ago

6

admission tickets is $2720. The price of 4 grandstand tickets and 4 general admission tickets is $2400. What is the price of each type of ticket?

1 answer:

pantera1 [17] · Answer 1 · 2022-08-12T07:01:01+03:00

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

$2(6x+2y=2720)\\12x+4y=5440\ \ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(12x+4y)-(4x+4y)=5440-2400\\12x+4y-4x-4y=3040\\8x=3040$

Dividing both sides by 8

$\frac{8x}{8}=\frac{3040}{8}\\x=380$

Putting x=380 in Eqn 2

$4(380)+4y=2400\\1520+4y=2400\\4y=2400-1520\\4y=880$

Dividing both sides by 4

$\frac{4y}{4}=\frac{880}{4}\\y=220$

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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