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March 29, 2017

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Sam and Susie are twins. Sam has as many brothers as he has sisters. Suzie has at least 1 sister, and twice as many brothers as sisters. How many kids are in the family altogether?

  • Mathematicas - ,

    Here is a similar version of this popular problem which should give you some clues as to how to approach yous.

    In a family of children,
    1) each girl has as many bothers as sisters but
    2) each boy has 3 times as many sisters as brothers.
    How many children are in the family?
    Let g = the number of girls
    Let b = the number of boys

    1--Looking at the girls only, it is clear that each girl has one less as many sisters as there are girls in the first place.
    2--Therefore, we can write that each girl has (g - 1) sisters.
    3--From statement #1, if each girl has as many brothers as sisters, we can write that (g - 1) = b.
    4--Similarly, we know that each boy has (b - 1) brothers and g sisters.
    5--From statement #2, if each boy has 3 times as many sisters as brothers, we can write that g = 3(b - 1) = 3b - 3.
    6--Substituting (5) into (3) yields 3b - 3 - 1 = b.
    7--Then, 2b = 4 making b = 2 and g = 3.

    Good luck.

  • Mathematicas - ,

    I think there are three children

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