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? The solution is square

## Step 1: Identify the Relationship### The problem states that the number of lottery tickets Jackie can purchase varies inversely with the price of each ticket. This means if is the price per ticket and is the number of tickets, then , where is a constant.## Step 2: Calculate the Constant of Variation### Given that when the price is . Solving this gives .## Step 3: Determine the Number of Tickets for a Different Price### Now, using the constant , we find the number of tickets Jackie can buy if the price is . Using the equation , solve for to get .