Last week Tom decided to cycle to his grandmother’s house. On the first day, he cycled half of the distance. On day 2, he cycled one half of the remaining distance. On day 3, he cycled three quarters of the remaining distance. On day 4, he cycled 10 miles. On day 5, he cycled two thirds of the remaining distance and on the final day he cycled the remaining 5 miles. How far is it to his grandmother’s house?

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