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.

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