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23 December, 07:49

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?

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  1. 23 December, 08:19
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    Grandstand ticket = $380.

    General admission ticket = $220

    Step-by-step 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.
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