Jane has a collection of coins consisting of only nickels and dimes. She notices that the total number of coins follows an arithmetic sequence where each subsequent term increases by one coin. On the first day, she has 1 coin, on the second day, she has 2 coins, and so on until the 10th day. She also notes that the value of the coins in cents follows a pattern: on the first day, the total value is 5 cents, on the second day, it is 15 cents, and so forth. If this pattern continues, how many nickels and dimes does Jane have by the 10th day, and what is the total value of the coins on that day? Let's think step by step and output the final answer within \boxed{}.
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