Question

Jasmine goes to a dance class every 3 days, karate class every 9 days, and to library every 12 days. If on May 1st she went to both classes and to library. On what date next she do both classes and Library

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Answer 1

Answer:

Jasmine goes to a dance class, karate class, library respectively 3 ,9,12 days.

LCM of 3,9,12 =12

jasmine start classes and to library on date=01

The next classes will be=1+12=13

So the next class will be on date 13-1=12

on date May 12 the next class held

Answer 2

Answer:

June 6 is the correct answer

Given:

• Jasmine goes to a dance class every 3 days, karate class every 9 days, and to the library every 12 days.
• on May 1st she went to both classes and the library

To find:

The next date was when she would go to both classes and karate together.

Solution:

jasmine went to all three places on 1st May.

so, the next date when she goes to all three places would be the LCM of the given numbers.

LCM OF 3, 9, and 12:

3 = 3 x 1

9 = 3 x 3 x 1

12 = 2 x 2 x 3 x 1

LCM of 3, 9, and 12 can be calculated by multiplying prime factors raised to their respective highest power, i.e. 2² × 3² = 36.

Hence, the LCM of 3, 9, and 12 = 36.

So, after 36 days, jasmine would go to both classes and karate together.

36 days from May 1st = June 6.

Hence, June 6 is the correct answer.

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