To determine the cost of one ticket to the concert, we first need to calculate the total amount paid for insurance and then subtract that amount from the total cost to find the total cost of the tickets.
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Calculate the total insurance cost for all four friends: \[ \text{Total insurance} = \text{Insurance per person} \times \text{Number of people} = 15 , \text{dollars} \times 4 = 60 , \text{dollars} \]
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Subtract the total insurance cost from the total amount paid: \[ \text{Total ticket cost} = \text{Total payment} - \text{Total insurance} = 540 , \text{dollars} - 60 , \text{dollars} = 480 , \text{dollars} \]
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Divide the total ticket cost by the number of people to find the cost of one ticket: \[ \text{Cost of one ticket} = \frac{\text{Total ticket cost}}{\text{Number of people}} = \frac{480 , \text{dollars}}{4} = 120 , \text{dollars} \]
Thus, the cost of one ticket to the concert is $120.