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# Sequences: Consecutive Integers - Counting Consecutive Multiples within a Range

Before the summer holidays, Bill got 100 mathematics exercises for homework. During the first week of his vacation, Bill worked out exercises number 1 to 5, 35 to 40, and 76 to 100. If Bill finished working out all his homework on the second week of the vacation, how many exercises did he complete on the second week?
Incorrect. [[Snippet]]
Incorrect. [[Snippet]]
Incorrect. [[Snippet]]
Incorrect. [[Snippet]]
Correct. [[Snippet]] Calculate the number of exercises that Bill has already done: >1 to 5: There are $$5-1+1 = 5$$ exercises. >35 to 40: There are $$40-35+1 = 6$$ exercises. >76 to 100: There are $$100-76+1 = 25$$ exercises. Therefore, Bill has done $$5 + 6 + 25 = 36$$ exercises. Subtract this from the total number of exercises: >$$100 - 36 = 64$$. Hence, this is the correct answer.
66
65
64
36
34