Jenny jogs every five days and Shannon jogs every six days. They both started jogging on Tuesday of this week. When will they bo th jog again on the same day? What day of the week will it be? Explain using a step by step algebraic equation.
2 answers:
If Jenny jogs every 5 days and Shannon jogs every 6 days , they will they jog again on the 30th day which is Thursday
Jenny = 5 days Shannon = 6 days
<h3>How to find the
least common multiples of 5 and 6 days</h3>
5 days = 5, 10, 15, 20, 25, 30 , 35, 40
6 days = 6, 12, 18, 24, 30 , 36, 42, 48, 54, 60
The least common multiples of 5 and 6 days is 30 days
They will both jog again on the same day after 30 days
30 days is equal to 4 weeks and 2 days
Therefore,
The next day of the week they will both jog is Thursday
Learn more about LCM :
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Answer:
4 weeks later on a Thursday
Step-by-step explanation:
If you multiply with your 6's, you find out that 30 is the fastest number from both sides to land on. 6 does not have any other common products until 60. If you divide 30 by 7, you land on 4 with a remainder of 2. On a calendar, 4 weeks after a tuesday and two days later, you get a Thursday.
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