A cinema sells tickets at three different prices, depending on the age of the customer. The age categories are under 16 years, between 16 and 65 years, and over 65 years. Three groups of people, A, B and C, go to the cinema on the same day. The numbers in each age category for each group, together with the total cost of the tickets for each group, are given in the following table.
| Group | Under 16 years | Between 16 and 65 years | Over 65 years | Total cost |
| A | \(9\) | \(6\) | \(4\) | $162.03 |
| B | \(7\) | \(5\) | \(3\) | $128.36 |
| C | \(10\) | \(4\) | \(5\) | $158.50 |
Write down and solve equations to find the cost of a ticket for each of the age categories.[4]
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