. Mbali walks to the lake every third day. Nqabisa walks to the lake every
fourth day. Calculate how often they will walk to the lake on the same day
Answers
Both Mbali and Nqabisa will walk to the lake on the same day every 12th day.
Given:
Mbali walks to the lake every third day
Nqabisa walks to the lake every fourth day
To find:
How often they will walk to the lake on the same day
Solution:
Given Mbali walks to the lake every 3rd day
Starting from the 3rd day of a month the order of days that Mbali walks to the lake is the 3rd, 6th, 9th, 12th, 15th ... so on.
Here 3, 6, 9, 12 .... are multiples of 3
Given Nqabisa walks to the lake every 4th day
Starting from the 4th day of a month the order of days that Mbali walks to the lake is the 4th day, 8th day, 12th day ... so on.
Here 4, 8, 12, .... are multiples of 4
So to find the day that they both walk to the lake we need to find a common multiple of 3 and 4
As we know
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, and 36.....
4 multiples are 4, 8, 12, 16, 20, 24, 28, 32, and 36...
Common multiples of 3 and 4 are 12, 24, and 36 ...
Therefore,
Both Mbali and Nqabisa will walk to the lake on the same day every 12th day.
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