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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.​

 Feb 14, 2020
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Let x be the number  of male stars

Let y be the number of  female stars

 

So  we have that

 

71.2x  +  50.8 y

_____________  =       60                       multiply both sides  by x + y

      x  +  y 

 

 

71.2x  + 50.8y =   60 (x + y)

 

71.2 x + 50.8 y  = 60x  +  60y      subtract   60x, 50.8 y   from  both sides

 

11.2 x = 9.2 y           divide both sides by 11.2 , y

 

 x               9.2              92

__  =         ___    =      ____ =   ratio of males / females

 y              11.2            112

 

 

 

cool cool cool

 Feb 14, 2020

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