Question

Jenny jogs every five days and Shannon jogs every six days. They both started jogging on Tuesday of this week. When will they both jog again on the same day? What day of the week will it be?
Explain using a step by step algebraic equation.

Answer 1

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

How to find the least common multiples of 5 and 6 days

• 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:

brainly.com/question/10749076

Answer 2

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.