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
