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For the month of October Lisa plan to go running every fifth day and walk every sixth day. If she begins on October 1, on what day of the month will she run and walk during the same day?

Respuesta :

Answer:

She'll walk and run on the 30th of the day of the month

Step-by-step explanation:

Given

[tex]Run = 5th\ days[/tex]

[tex]Walk = 6th\ days[/tex]

Required

Determine date which She'll run and walk

To do this, we need to determine the LCM of the given days:

[tex]5 = 1 * 5[/tex]

[tex]6 = 1 * 2 * 3[/tex]

[tex]LCM = 1 * 2 * 3 * 5[/tex]

[tex]LCM = 30[/tex]

Hence:

She'll walk and run on the 30th of the day