Question

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

Answer 1

Grandstand ticket = $380.

General admission ticket = $220

Explanation:

Let the price of One grandstand ticket be X dollars and the price of One general admission ticket be Y dollars.

Then according to question,

6X + 2 Y = 2720 -(1)

Also,

4X + 4 Y = 2400 -(2)

Simplifying second equation we get ,

X + Y = 600 , Thus , X = 600 - Y .

Put X = 600 - Y in Equation 1.

So,

3600 - 6Y + 2Y = 2720

4Y = 880

Y = $220

Thus, X = 600 - 220 = $380.

So,

Cost of grandstand ticket is $380 and cost of general admission ticket is $220.