Question

At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women, and children at the picnic, how many men were there, in terms of x ?

A. x/2B. x/3C. x/4D. x/5E. x/6

Answer 1

`(x)/(4)`

C is correct.

Explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

2m + m = 3c (∴ w=2m )

c = m

Total number of men, women and children at the picnic be x

∵ c + m + w = x

m + m + 2m = x

4m = x

Number of men,
`m=(x)/(4)`

Hence, The total number of men will be
`(x)/(4)`