The average weight of all male stars in a movie is 71.2kg, whereas the average weight of all female stars is 50.8kg. If the mean weight of a

Question

The average weight of all male stars in a movie is 71.2kg, whereas the average weight of all female stars is 50.8kg. If the mean weight of all male and female stars is 60kg, find the ratio of male stars to female stars acting in the movie.​

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Melanie 1 month 2021-12-26T12:15:40+00:00 1 Answer 0 views 0

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    2021-12-26T12:17:22+00:00

    Answer:

    The ratio of male stars to female stars acting in the movie is 92/112

    Step-by-step explanation:

    1. Let’s review the information provided to us to answer the question correctly:

    Average weight of all male stars = 71.2 kg

    Average weight of all female stars = 50.8 kg

    Mean weight of all male and female stars = 60 kg

    2. Find the ratio of male stars to female stars acting in the movie.

    x = Number of male stars

    y = Number of female stars

    Total weight of male stars = 71.2x

    Total weight of female stars = 50.8y

    Total weight of stars in the movie = 71.2x + 50.8y

    Total number of stars = x + y

    Therefore, we can find out the ratio this way:

    Total weight of stars in the movie/Total number of stars = 60

    Replacing with the variables and values we know:

    (71.2x + 50.8y)/(x + y) = 60

    71.2x + 50.8y = 60x + 60y

    71.2x – 60x = 60y – 50.8y (subtracting 60x and 50.8y from both sides)

    11.2x = 9.2y

    For finding the ratio:

    x/y = 9.2/11.2 (dividing both sides by 11.2 and y)

    x/y = 92/112 (multiplying by 10 to have whole numbers)

    x = 92 and y = 112 and the ratio of male stars to female stars acting in the movie is 92/112

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