Theatro

480 spectators attended the theatrical performance. Women were in the audience, 40 more than men and children, 60 less than half of the adult spectators. How many men, women, and children attended a theater performance?

Final Answer:

x =  200
y =  160
z =  120

Step-by-step explanation:

$$\begin{gathered} x+y+z=480 \\ x=40+y \\ z=(x+y)/2-60 \\ (y+40)+y+((x+y)/2-60)=480 \\ (y+40)+y+(((y+40)+y)/2-60)=480 \\ 6y=960 \\ y=\frac{960}{6}=160 \\ y=160 \\ x=40+y=40+160=200 \end{gathered}$$

$z=480-x-y=480-200-160=120$

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