There are men and woman and children at a party. 30% of the people at the party are children, 35% are men and the rest are woman. If there are 72 children at the Larry, how many men are at the party

  84 men

Step-by-step explanation:

The ratio of men to children is ...

  men/children = 35%/30% = 7/6

Given the number of children is 72, the number of men is ...

  men/children = 7/6 = men/72

  men = (7/6)(72) = 84

There are 84 men at the party.

Additional comment

The fraction of women is 100% -30% -35% = 35%, the same as the number of men. There are 84 women at the party and 240 total people.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: