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

Correct answer:

x =  200
y =  160
z =  120

Step-by-step explanation:

x = 40+y
z = (x+y)/2-60

x+y+z = 480
x-y = 40
x+y-2z = 120

x = 200
y = 160
z = 120

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