Grades 1-2 Video Solutions 2024-2024_1-2

Video Transcription

Julia has a list of problems to finish during May. She starts on the 1st of May, which this year is a Wednesday.  If she solves exactly two problems each day, she will finish the task on a Sunday. If she solves exactly three problems each day, she will finish the task on a Wednesday.  How many problems are on the list? 6, 12, 18, 24, or 30?  Let's use the calendar provided to mark the Wednesdays and Sundays.  Since Julia starts on the first day of the month, we can just use the date to figure out how many problems she would have solved by that day.  For Wednesdays, we will need to multiply by 3. So, if she finishes on a Wednesday, she could have solved 1 times 3 problems if she finished on the first Wednesday, the first day.  If she finished on the 8th, she would have solved 8 times 3, or 24 problems. If she finished on the 15th, she would have solved 15 times 3, or 45 problems.  If she finished on the 22nd, she would have solved 66 problems. And if she would have finished on the 29th, she would have solved 29 times 3, or 87 problems.  If she finishes on a Sunday, then we need to multiply by 2.  So, if she finished on the 5th, she would have solved 5 times 2, or 10 problems. If she finished on the 12th, she would have solved 24 problems.  If she finishes on the 19th, she would have solved 38 problems. And if she finished on the 26th, she would have solved 52 problems.  Now, since Julia can solve the problems either way, either finishing on Wednesday or on Sunday, the number of problems must be on both those lists that we made. That number is 24.  So, the answer is D, 24. There are 24 problems on the list.

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