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5 February, 05:56

Jackie walks into a convenience store and recognizes the number of lottery tickets she can purchase varies inversely with the price of each ticket. If Jackie buys $5 tickets, she can purchase exactly 6 tickets. If she buys $3 tickets, what is the maximum number of tickets she can purchase?

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  1. 5 February, 06:44
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    Let the price of the tickets be 'x' and the number of tickets bought is 'y'

    When the y inversely proportioned to x, the equation is

    y = k/x where k is a constant

    We work out the value of k by using the information y = 6 and x = 5

    6 = k/5

    k = 30

    Hence, the maximum number of tickets when the price is $3 is

    y = 30/3

    y = 10 tickets
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