at a concert, 2/5 of the people were men.there were 3 times as many women as children. if there were 45 more men than children how many people were at the concert

Respuesta :

people: p 
men: 2/5 p 
children: c 
women: 3c 
men: 2/5 p = c+45 
people = m+w+c = 2/5 p + 3c + c 

so, p = 2/5 p + 4c 

3/5 p = 4c 
2/5 p = c+45 

c=27 
p=180 
180 people at the show. 

so, women=81 
men=72