Divide a rope of length 5 60cm into two parts such that twice is the length of the smaller part is equal to 1/3 of the larger. Then find the length of the larger part

Juanita wade's new car has an msrp of $28,902.11 including title and processing fees. the premier package which includes surround sound and dvd player costs three times the amount of the in-style package which includes leather seats and select wheels. the total cost of her new car was $34,290.08 which included the 6.5% sales tax. find the cost of the premier package to the nearest cent.