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?

Question

Mathematics

Dixie Adams

21 July, 17:58

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?

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Answers (1)

Know the Answer?

Mohamed Carey · Answer 1

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