Haris K.

asked • 12/28/17

maria wears her jacket every 5 days and hat every 4 days.she wears both on 20 december.what is the next date that she wears both?

jacket days=5
hat days=4
date=20 december

1 Expert Answer

By:

Andrew M. answered • 12/28/17

Tutor
New to Wyzant

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Haris K.

answer is correct but plz can u explain that lowest common multiple step
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12/31/17

Andrew M.

She wears the hat every 4 days and the jacket every 5 days.
 
We need to know when those will meet so we look at the multiples
of the numbers:
 
hat days after Dec 20:  4, 8, 12, 16, 20, ...
                                  12/24, 12/28, 1/1, 1/5, 1/9
 
jkt days after Dec 20:  5, 10, 15, 20, ...
                                12/25, 12/30, 1/4, 1/9
How many days after December 20th will she be wearing both?
Answer is 20 days or January 9th
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12/31/17

Haris K.

Thanks u all!!!!!!!!!!!
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01/05/18

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