There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 5 grandstand tickets and 3 general admission tickets is 2490. The price of 6 grandstand tickets and 6 general admission tickets is 3540 . What is the price of each type of ticket?

Grandstand: 360, General Admission: 230

Step-by-step explanation:

Use any variable you like but:

You know:

5 Grandstand tickets and 3 general admission tickets is 2490:

The price of 6 grandstand (g) tickets and 6 general admission tickets (a) is 3540

You want to find out: What is the price of each ticket. To do this either use substitution or elimination.

I will demonstrate elimination:

To do elimination, you want to cancel out one variable. This means you want to multiply each side of the equation by a number. I see  3a and 6a. This means multiply by -2. Again, you want to eliminate the variable.

Now, add the two equations together: Notice how you can line them up vertically to see how they can add together.

Now you can solve for the g (grandstand tickets):

You now know grand stand tickets cost 360. Take one of your original equations and solve for a (general admission tickets). To double check your work, they should satisfy both equations.

Therefore general admission tickets cost 230, and grandstand tickets cost 360!

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step-by-step explanation:

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