Answer:
9 cakes
Step-by-step explanation:
Let the number of cakes = x
Let the number of persons = y
y = [tex]\frac{540}{x}[/tex]
Since x = [tex](\frac{15}{100})y[/tex]
[tex]\frac{540}{\frac{15}{100}}y[/tex] = y
y² = [tex]\frac{(540\time 100}{15})y[/tex] = 3600
y = ±√3600
y = 60 [60 persons]
x = [tex]\frac{540}{60}[/tex] = 9
9 cakes given to each person.