Finding Common Days Off

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Questions and Answers

How many minutes does it take for the three individuals to complete one round?

3
4
6 (correct)
8

For the individuals who run cycles, how many rounds do they complete in 6 minutes?

3
1
4
2 (correct)

If Vani's last day off was on April 29th and she has every fourth day off, what is Vani's next day off?

May 2
May 1
May 3 (correct)
May 4

If Li Ting's last day off was on May 1st and she has a day off every sixth day, what is Li Ting's next day off?

<p>May 7 (C)</p> Signup and view all the answers

After their initial common day off, how frequently will Vani and Li Ting have a day off together?

<p>Every 12 days (B)</p> Signup and view all the answers

Flashcards

Finding the LCM

Finding the least common multiple (LCM) of two numbers is essential for determining when events will occur simultaneously. In this context, we need to find the LCM of the number of seconds it takes Vani and Li Ting to have a day off.

Finding the Same Day Off

The time it takes for Vani and Li Ting to have the same day off is determined by the LCM of their off-day intervals. Since Vani has a day off every 4 days and Li Ting every 6 days, we need to find the LCM of 4 and 6.

Dividing a Figure into Four Parts

Dividing a figure into four identical parts requires understanding geometric shapes and partitioning. We need to find a way to cut the figure into four equal pieces without overlapping.

LCM and Cyclical Events

When events repeat at regular intervals, the time it takes them to occur together again is determined by the LCM of their individual intervals. This is essential for solving problems involving cycles or recurring events.

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Cycles and Timing

Cycles involve actions that repeat at regular intervals, such as a runner completing a lap or a machine running a full cycle. These cycles are important for understanding how long it takes for events to repeat.

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Study Notes

Vani and Li Ting's Day Offs

Vani has a day off every 4 days, Li Ting every 6 days
Vani's last day off was April 29th, Li Ting's May 1st
To find when they have the same day off, find the least common multiple of 4 and 6.
LCM(4, 6) = 12. This means they will have the same day off every 12 days.