Margot walks Mrs. Beck\'s dog every 3rd day. She walksMr.Peacock\'s dog every 4t
ID: 3092626 • Letter: M
Question
Margot walks Mrs. Beck's dog every 3rd day. She walksMr.Peacock's dog every 4th day and Mrs.West's dog every 7th day.She last walked all 3 dogs on the same day July 1st. On what datewill she have to walk all 3 dogs on the same day? A. July 5th B. August 5th C. September 23rd D. November 17th E. December 1st How do I show work? Margot walks Mrs. Beck's dog every 3rd day. She walksMr.Peacock's dog every 4th day and Mrs.West's dog every 7th day.She last walked all 3 dogs on the same day July 1st. On what datewill she have to walk all 3 dogs on the same day? A. July 5th B. August 5th C. September 23rd D. November 17th E. December 1st How do I show work?Explanation / Answer
Find the least common multiple from these numbers, and it will bethat many days past July 1st. For one every 3rd day, one every 4th day, and one every 7thday: 3 times 4 times 7 = 84 84 is the least common multiple because dividing 84 by any numberwill result in a number not divisible by 3, 4, or 7. Althoughmerely multiplying the three numbers together does indeed get you acommon multiple, but it is not guaranteed to get you theleast common multiple, but in this case we are lucky. So, 84 days after July 1...time to get a calendar. Looks likeSeptember 23 to me...and yes! That is one of the choices.