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24 April, 19:39

Mrs. SImpson waters her geraniums once every 3 days, and she waters her other house plants once a week. How often does mrs. Simpson water all the plants on the same day?

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  1. 24 April, 19:45
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    She often waters all the plants on the same day every 21 days

    Step-by-step explanation:

    - Mrs. Simpson waters her geraniums once every 3 days

    - She waters her other house plants once a week

    ∵ Each week has 7 days

    ∴ She waters her other house plants once every 7 days

    - We need to know How often does Mrs. Simpson water all the plants

    on the same day

    * Lets think about that:

    ∵ She waters her geraniums once every 3 days

    - That mean 3, 6, 9, 12, ...

    ∴ She will water her geraniums in a multiple of 3

    ∵ She waters her other house plants once every 7 days

    - That mean 7, 14, 21, 28, ...

    ∴ She will water other house plants in a multiple of 7

    - That means she will water both in a common multiples of 3 and 7

    ∴ She will water all in a common multiple of 3 and 7

    ∵ The first common multiple of 3 and 7 is 21

    ∴ Mrs. Simpson waters all the plants on the same day every 21 days

    * She often waters all the plants on the same day every 21 days
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