At the High Flying Amusement Park there are three kinds of rides: Jolly rides, Adventure rides, and Thrill rides. Admission is free when you buy a book of tickets, which includes ten tickets for each type of ride. Or you can pay $5.00 for admission and then buy tickets for each of the rides individually. Noah, Rita, and Carey decide to pay the admission price and buy individual tickets. Noah pays $19.55 for 7 Jolly rides, 3 Adventure rides, and 9 Thrill rides. Rita pays $13.00 for 9 Jolly rides, 10 Adventure rides, and no Thrill rides. Carey pays $24.95 for 8 Jolly rides, 7 Adventure rides, and 10 Thrill rides. (The prices above do not include the admission price.)

a. How much does each type of ride cost?
b. What is the total cost of a 30-ride book of tickets?
c. Would Noah, Rita, or Carey have been better off purchasing a ticket book?

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