To determine the price of each type of seat, we will follow the given ratio between the prices of the different grades of seats. The ratio is:
Grade A : Grade B : Grade C = 3 : 2 : 1
We also know that the cheapest seats, Grade C, are priced at £8.
Given that the ratio of ticket prices expresses the relationship between the different prices, we can determine the actual prices as follows:
1. Price of Grade C Seats (Cheapest):
We are already informed that the price of Grade C seats is £8.
2. Price of Grade B Seats (Middle Price):
According to the ratio, Grade B seats are twice the price of Grade C seats.
Therefore:
[tex]\[
\text{Price of Grade B seats} = 2 \times \text{Price of Grade C seats} = 2 \times 8 = £16
\][/tex]
3. Price of Grade A Seats (Most Expensive):
Similarly, the ratio shows that Grade A seats are three times the price of Grade C seats.
Therefore:
[tex]\[
\text{Price of Grade A seats} = 3 \times \text{Price of Grade C seats} = 3 \times 8 = £24
\][/tex]
In summary, the prices for each type of seat are:
- Grade A seats: £24
- Grade B seats: £16
- Grade C seats: £8
