There were 90 people at a party. There were four more men than women and there were 10 more children than adults now many men women and children were at the party?

Answer: 50 children

18 women

22 men

Step-by-step explanation:

There were 90 people at a party. The persons consists of men, women and children. The men and women are adults.

Let m = number of men at the party

Let w = number of women at the party

Let c = number of children at the party

There were four more men than women. It means

w = m - 4

There were 10 more children than adults. It means

m + w + 10 = c

c = m + w + 10

Substituting w = m - 4 into the above equation, it becomes

c = m + m - 4 + 10 = 2m + 6

Note: adults = sum of men and women

There were 90 people at a party. It means

m + w + c = 90

Substituting c = 2m+6 and w = m-4, it becomes

m + m-4 + 2m+6 = 90

4m = 90 - 18 = 88

m = 88/4 = 22

w = m - 4 = 22-4

w = 18

c = 2m + 6 = 44 + 6 = 50

c = 50