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Thread: This word problem doesn't add up

  1. #1
    Junior Member
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    This word problem doesn't add up

    Hello, I was given this math problem as a challenge from a friend. He apparently got it right, and my answer was wrong. Apparently mine was way wrong. Can someone explain it to me.

    Country “A” (population = 100 million) has an average age of 15, and the average number of children per woman is 2.1. Country “B” (population = 100 million) has an average age of 30, and the average number of children per woman is 2.4. Which country will have the larger population growth? Explain your reasoning?

    I feel like it is missing something.
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  2. #2
    MHF Contributor

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    Re: This word problem doesn't add up

    So his answer was "country B" and your answer was "country A"? I would be interested in seeing your argument for that!

    It looks pretty simple to me. First, as for "average age", I suspect the point is that girls much younger than 15 are not going to be fertile. Since the average age of country "B" is 30, there will be a larger number of fertile females in country "B" than in country "A". Also, in country "B", the women average more children than in country "A". Those two together, more fertile women and more children per woman, combine to give country "B" the greater population growth rate.
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